We'll start with simple problems like 3 / 2 and build to more complex problems like 4.5 / 0.15.
In this article, you'll learn how to divide decimals by jumping in and giving it a try without being shown how to do it first.
The problems go from easier to more difficult. Along the way there are examples and explanations to help you out if you get stuck. If you get a little confused, just think of it as a chance to learn!
Let's start by dividing whole numbers to get a decimal.
Eksempel: 9, divided by, 4
One way to solve this problem is to think in terms of hundredths:
empty space, 9, divided by, 4
equals, 9, point, 00, divided by, 4
equals, 900 hundredths divided by, space, 4
equals, 225 hundredths
equals, 2, comma, 25
Another way is to convert the division problem to a fraction with a denominator of 100:
9, divided by, 4, equals, start fraction, 9, divided by, 4, end fraction, space, space, space, space, space, space, space, space, start color gray, R, e, w, r, i, t, e, space, t, h, e, space, d, i, v, i, s, i, o, n, space, p, r, o, b, l, e, m, space, a, s, space, a, space, f, r, a, c, t, i, o, n, point, end color gray
empty space, equals, start fraction, 9, times, 25, divided by, 4, times, 25, end fraction, space, space, space, space, space, space, space, space, start color gray, M, u, l, t, i, p, l, y, space, t, h, e, space, t, o, p, space, a, n, d, space, b, o, t, t, o, m, space, b, y, space, 25, point, end color gray
empty space, equals, start fraction, 225, divided by, 100, end fraction
empty space, equals, 2, point, 25

Problem set 1:

Problem 1a
Express your answer as a decimal.
3, divided by, 2, equals
  • Svaret bør være
  • et presist desimaltall, som 0, comma, 75

Beautiful, let's move on to dividing larger whole numbers.
Example: 19, divided by, 2
empty space, 19, divided by, 2
equals, start fraction, 19, divided by, 2, end fraction
equals, start fraction, 18, plus, 1, divided by, 2, end fraction, space, space, space, space, space, space, space, space, start color gray, S, p, l, i, t, space, 19, space, i, n, t, o, space, 18, space, a, n, d, space, 1, point, end color gray
equals, start fraction, 18, divided by, 2, end fraction, plus, start fraction, 1, divided by, 2, end fraction, space, space, space, space, space, space, space, space, start color gray, B, r, e, a, k, space, i, n, t, o, space, t, w, o, space, f, r, a, c, t, i, o, n, s, point, end color gray
equals, 9, plus, start fraction, 1, divided by, 2, end fraction, space, space, space, space, space, space, space, space, start color gray, F, o, r, e, n, k, l, e, point, end color gray
equals, 9, plus, 0, comma, 5
equals, 9, comma, 5

Problem set 2:

Problem 2a
Express your answer as a decimal.
27, divided by, 4, equals
  • Svaret bør være
  • et presist desimaltall, som 0, comma, 75

Great, now we'll work on dividing a decimal by a whole number.
Example: 4, point, 2, divided by, 6
Let's think in terms of tenths:
empty space, 4, point, 2, divided by, 6
equals, 42 tenths divided by, space, 6
equals, 7 tideler

Problem set 3:

Problem 3a
Express your answer as a decimal.
2, point, 5, divided by, 5, equals
  • Svaret bør være
  • et presist desimaltall, som 0, comma, 75

Nice! Let's move onto working with slightly bigger numbers.
Example: 9, divided by, 60
Let's break 60 down:
9, divided by, 60, equals, 9, divided by, 6, divided by, 10, space, space, space, space, space, space, space, space, start color gray, B, r, e, a, k, space, 60, space, i, n, t, o, space, 6, space, a, n, d, space, 10, point, end color gray
empty space, equals, left parenthesis, 9, divided by, 6, right parenthesis, divided by, 10
empty space, equals, 1, point, 5, divided by, 10
empty space, equals, 0, point, 15

Problem set 4:

Problem 4a
Express your answer as a decimal.
9, divided by, 30, equals
  • Svaret bør være
  • et presist desimaltall, som 0, comma, 75

Sweet! Next up are even bigger numbers!
Example: 20, divided by, 80
Let's rewrite this equation as a fraction and factor out multiples of 10:
20, divided by, 80, equals, start fraction, 20, divided by, 80, end fraction, space, space, space, space, space, space, space, space, start color gray, R, e, w, r, i, t, e, space, t, h, e, space, d, i, v, i, s, i, o, n, space, p, r, o, b, l, e, m, space, a, s, space, a, space, f, r, a, c, t, i, o, n, point, end color gray
empty space, equals, start fraction, 2, times, 10, divided by, 8, times, 10, end fraction, space, space, space, space, space, space, space, space, start color gray, F, a, c, t, o, r, space, o, u, t, space, m, u, l, t, i, p, l, e, s, space, o, f, space, 10, point, end color gray
empty space, equals, start fraction, 2, divided by, 8, end fraction, times, start fraction, 10, divided by, 10, end fraction, space, space, space, space, space, space, space, space, start color gray, B, r, e, a, k, space, i, n, t, o, space, t, w, o, space, f, r, a, c, t, i, o, n, s, point, end color gray
empty space, equals, start fraction, 1, divided by, 4, end fraction, times, 1, space, space, space, space, space, space, space, space, start color gray, S, i, m, p, l, i, f, y, point, end color gray
empty space, equals, 0, point, 25, times, 1
empty space, equals, 0, point, 25

Problem set 5:

Problem 5a
Express your answer as a decimal.
50, divided by, 40, equals
  • Svaret bør være
  • et presist desimaltall, som 0, comma, 75

Baller. Now we'll divide decimals by decimals.
Example: 0, point, 9, divided by, 0, point, 3
One way to solve this problem is to think in terms of tenths:
empty space, 0, point, 9, divided by, 0, point, 3
equals, 9 tenths divided by, space, 3 tenths
equals, 3
Another way is to convert the division problem to a fraction, then multiply the top and bottom of the fraction by 10 so that you can work with whole numbers:
0, point, 9, divided by, 0, point, 3, equals, start fraction, 0, point, 9, divided by, 0, point, 3, end fraction
empty space, equals, start fraction, 0, point, 9, times, 10, divided by, 0, point, 3, times, 10, end fraction
empty space, equals, start fraction, 9, divided by, 3, end fraction
empty space, equals, 3

Problem set 6:

Problem 6a
0, point, 8, divided by, 0, point, 2, equals
  • Svaret bør være
  • et heltall, som 6
  • en forkortet ekte brøk, som 3, slash, 5
  • en forkortet uekte brøk, som 7, slash, 4
  • et blandet tall, som 1, space, 3, slash, 4
  • et presist desimaltall, som 0, comma, 75
  • et multiplum av pi, som 12, space, p, i eller 2, slash, 3, space, p, i

Awesome! Let's try a few that are a bit harder.
Example: 7, point, 6, divided by, 0, point, 1
One way to solve this problem is to think in terms of tenths:
empty space, 7, point, 6, divided by, 0, point, 1
equals, 76 tenths divided by, space, 1 tenth
equals, 76
Another way is to convert the division problem to a fraction, then multiply the top and bottom of the fraction by 10 so you can work with whole numbers:
7, point, 6, divided by, 0, point, 1, equals, start fraction, 7, point, 6, divided by, 0, point, 1, end fraction
empty space, equals, start fraction, 7, point, 6, times, 10, divided by, 0, point, 1, times, 10, end fraction
empty space, equals, start fraction, 76, divided by, 1, end fraction
empty space, equals, 76

Problem set 7:

Problem 7a
4, point, 5, divided by, 0, point, 1, equals
  • Svaret bør være
  • et heltall, som 6
  • en forkortet ekte brøk, som 3, slash, 5
  • en forkortet uekte brøk, som 7, slash, 4
  • et blandet tall, som 1, space, 3, slash, 4
  • et presist desimaltall, som 0, comma, 75
  • et multiplum av pi, som 12, space, p, i eller 2, slash, 3, space, p, i

Great, we'll finish with a few more challenging problems.
Example: 5, point, 4, divided by, 0, point, 9
One way to solve this problem is to think in terms of tenths:
empty space, 5, point, 4, divided by, 0, point, 9
equals, 54 tenths divided by, space, 9 tenths
equals, 6
Another way is to convert the division problem to a fraction, then multiply the top and bottom of the fraction by 10 so you can work with whole numbers:
5, point, 4, divided by, 0, point, 9, equals, start fraction, 5, point, 4, divided by, 0, point, 9, end fraction
empty space, equals, start fraction, 5, point, 4, times, 10, divided by, 0, point, 9, times, 10, end fraction
empty space, equals, start fraction, 54, divided by, 9, end fraction
empty space, equals, 6

Problem set 8:

Problem 8a
12, divided by, 0, point, 5, equals
  • Svaret bør være
  • et heltall, som 6
  • en forkortet ekte brøk, som 3, slash, 5
  • en forkortet uekte brøk, som 7, slash, 4
  • et blandet tall, som 1, space, 3, slash, 4
  • et presist desimaltall, som 0, comma, 75
  • et multiplum av pi, som 12, space, p, i eller 2, slash, 3, space, p, i