Multi-digit Division

Objective

Know how to divide numbers with many digits.

Example

182106 ÷ 201

906

201|182106

-1809

120

- 0

1206

-1206

0

201

x 9

1809

201

x 0

0

201

x 6

1206

Answer: 906

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Explanation

If you're thinking, "It's much easier to use a calculator for these. Who would do long division when they could just use a calculator?" you are correct. However, in response I would say,

  • who always has a calculator with them?

  • calculators die

  • cell phones run out of batteries

  • if you just have 1 or 2 questions like this to do, sometimes it's easier to just do it by hand than run around trying to borrow a calculator

  • some tests don't allow calculators

For an explanation of how to divide multi-digit numbers, Click Here.

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Examples

Example 1

6706 ÷ 7

958

7|6706

-63

40

-35

56

-56

0

7

x9

63

7

x5

35

7

x8

56

Answer: 958

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Example 2

9724 ÷ 17

572

17|9724

-85

122

-119

34

-34

0

17

x 5

85

17

x 7

119

17

x 2

34

Answer: 572

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Practice your skills

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Ready?