This document provides step-by-step instructions for long division. It uses the example of dividing 2,200 by 20. The dividend is 2,200, the divisor is 20, and the quotient is calculated to be 110 with a remainder of 0. The document walks through each step, showing how to set up the problem, divide the first few digits, bring down the next digits, and calculate the final quotient.

1. 2 0 2 0 0
1 0
2 0 0 ÷ 2 0 = 1 0

2. 2 0 2 0 0
Divisor
1 0
2 0 0 ÷ 2 0 = 1 0

3. 2 0 2 0 0
1 0
2 0 0 ÷ 2 0 = 1 0

4. 2 0 2 0 0
Dividend
1 0
2 0 0 ÷ 2 0 = 1 0

5. 2 0 2 0 0
1 0
2 0 0 ÷ 2 0 = 1 0

6. 2 0 2 0 0
Quotient
1 0
2 0 0 ÷ 2 0 = 1 0

7. 2 2 3 3 0

8. 2 2 3 3 0
Start by looking at
the first digit of the
dividend.

9. 2 2 3 3 0
Start by looking at
the first digit of the
dividend.

10. 2 2 3 3 0
Can the divisor go
into the first digit of
the dividend?

11. 2 2 3 3 0
22 is greater than 3,
so 22 goes into 3
zero times.

12. 2 2 3 3 0
22 is greater than 3,
so 22 goes into 3
zero times.
We’ll need to use
the first two digits of
the dividend.

13. 2 2 3 3 0
22 is less than 33, so
22 goes into 33.

14. 2 2 3 3 0
Try multiples of the divisor
to determine how many
times 22 goes into 33?
22 x 1 = 22; Yes
22 x 2 = 44; No, too big

15. 2 2 3 3 0
This number is how many
times 22 goes into 33.
22 x 1 = 22; Yes
22 x 2 = 44; No

16. 2 2 3 3 0
This number is the first
digit of the quotient.
22 x 1 = 22; Yes
22 x 2 = 44; No

17. 2 2 3 3 0
22 x 1 = 22; Yes
22 x 2 = 44; No
Place this number on top,
above the number divided into.

18. 2 2 3 3 0
22 x 1 = 22; Yes
22 x 2 = 44; No
Place this number on top,
above the number divided into.

19. 2 2 3 3 0
22 x 1 = 22; Yes
22 x 2 = 44; No
1
Place this number on top,
above the number divided into.

20. 2 2 3 3 0
This number goes under
the number divided into.
22 x 1 = 22; Yes
22 x 2 = 44; No
1

21. 2 2 3 3 0
This number goes under
the number divided into.
22 x 1 = 22; Yes
22 x 2 = 44; No
1

22. 2 2 3 3 0
22 x 1 = 22; Yes
22 x 2 = 44; No
1
2 2This number goes under
the number divided into.

23. 2 2 3 3 0
1
2 2
1 1
Subtract 22 from 33.

24. 2 2 3 3 0
1
2 2
1 1
Bring down the next
digit of the dividend.

25. 2 2 3 3 0
1
2 2
1 1 0
Bring down the next
digit of the dividend.

26. 2 2 3 3 0
1
2 2
1 1 0
This is the next number
that the divisor will be
divided into.

27. 2 2 3 3 0
1
2 2
1 1 0
Try multiples of the divisor;
how many times does 22
go into 110?
22 x 1 = 22; Yes
22 x 2 = 44; Yes
22 x 3 = 66; Yes
22 x 4 = 88; Yes
22 x 5 = 110; Yes
22 x 6 = 132; No, too big

28. 2 2 3 3 0
1
2 2
1 1 0
Try multiples of the divisor;
how many times does 22
go into 110?
22 x 1 = 22; Yes
22 x 2 = 44; Yes
22 x 3 = 66; Yes
22 x 4 = 88; Yes
22 x 5 = 110; Yes
22 x 6 = 132; No, too big

29. 2 2 3 3 0
1
2 2
1 1 0
Try multiples of the divisor;
how many times does 22
go into 110?
22 x 5 = 110; Yes

30. 2 2 3 3 0
1
2 2
1 1 022 x 5 = 110
This number is the next
digit of the quotient.

31. 2 2 3 3 0
1 5
2 2
1 1 022 x 5 = 110
This number goes under
the number divided into.

32. 2 2 3 3 0
1 5
2 2
1 1 022 x 5 = 110
This number goes under
the number divided into.
1 1 0

33. 2 2 3 3 0
1 5
2 2
1 1 0
1 1 0
Subtract 110 from 110.

34. 2 2 3 3 0
1 5
2 2
1 1 0
1 1 0
0
Subtract 110 from 110.

35. 2 2 3 3 0
1 5
2 2
1 1 0
1 1 0
0
The final quotient is 15.

36. 2 2 3 3 0
1 5
2 2
1 1 0
1 1 0
0

37. For more long division practice,
go to Mr. Martini’s Classroom
at:
Long Division Tool