1. Long Division Methods
Method 1

2. We are going to try to solve
839 ÷ 27

3. Method 1
839 ÷ 27
8 3 9
(27 x 10 = 270)

4. Method 1
839 ÷ 27
8 3 9
(27 x 10 = 270)
5 6 9

5. Method 1
839 ÷ 27
8 3 9
(27 x 10 = 270)
5 6 9
(27 x 10 = 270)
2 9 9

6. Method 1
839 ÷ 27
8 3 9
(27 x 10 = 270)
5 6 9
(27 x 10 = 270)
2 9 9
(27 x 10 = 270)
2 9

7. Method 1
839 ÷ 27
8 3 9
(27 x 10 = 270)
5 6 9
(27 x 10 = 270)
2 9 9
(27 x 10 = 270)
2 9
(27 x 1 = 27) 2

8. Method 1
839 ÷ 27
8 3 9
(27 x 10 = 270)
5 6 9
(27 x 10 = 270)
2 9 9
(27 x 10 = 270)
2 9
(27 x 1 = 27) 2
= 31

9. Method 1
= 3 1 r 2
839 ÷ 27 Or 27

10. Long Division Methods
Method 2

11. We are going to try to solve
839 ÷ 27

12. Method 2
839 ÷ 27
becomes
27 )

13. Method 2
27 x 10 = 270
Miles off!
839 ÷ 27
27 )

14. Method 2 27 x 10 = 270 27 x 20 = 540 Getting better! 27 ) 8 3 9
839 ÷ 27
27 )

15. Method 2 27 x 10 = 270 27 x 20 = 540 27 x 30 = 810 Much better!
839 ÷ 27
27 )

16. Method 2 27 x 30 = 810 Put the 810 underneath. 27 ) 8 3 9 - 8 1 0
839 ÷ 27
27 )
2 9
27 x 30 = 810

17. Method 2
839 ÷ 27
27 )
2 9
27 x 30 = 810
- 2 7
27 x 1 = 27 2

18. Method 2
839 ÷ 27
27 x 30 = 810
3 1
27 x 1 = 27
27 )
2 9
= 31
- 2 7 2

19. Don’t forget the remainder! - 2 7 2
Method 2
839 ÷ 27
3 1 r 2
27 )
2 9
Don’t forget the remainder!
- 2 7 2

20. Method 2
= 3 1 r 2
839 ÷ 27 Or 27

21. Long Division Methods
Method 3

22. We are going to try to solve
839 ÷ 27

23. Method 3
839 ÷ 27
becomes
27 )

24. Method 3
Calculate 8 ÷ 27
839 ÷ 27
27 )

25. We can’t do it, so we write the answer 0 here
Method 3
We can’t do it, so we write the answer 0 here
839 ÷ 27
27 )

26. Use you repeated subtraction here if this helps
Method 3
So we next look at 83 ÷ 27
839 ÷ 27
27 )
Use you repeated subtraction here if this helps

27. Method 3
2 x 27 = 54
3 x 27 = 81
839 ÷ 27 3
27 )

28. We need to take off 81 from the 83 to get the remainder 3 27 ) 8 3 9
Method 3
3 x 27 = 81
839 ÷ 27
We need to take off 81 from the 83 to get the remainder 3
27 )
- 8 1 2

29. Drop the next digit next to the 2 3 27 ) 8 3 9 - 8 1
Method 3
839 ÷ 27
Drop the next digit next to the 2 3
27 )
- 8 1
2 9

30. Now we are going to do 29 ÷ 27 and put the answer here
Method 3
Now we are going to do 29 ÷ 27 and put the answer here
839 ÷ 27
3 1
27 )
- 8 1
2 9

31. Now we are going to do 29 - 27 to get the remainder
Method 3
Now we are going to do to get the remainder
839 ÷ 27
3 1
27 )
- 8 1
2 9
2 7

32. Method 3
839 ÷ 27
3 1 r 2
27 )
- 8 1
2 9
2 7 2

33. Method 3
= r 2
839 ÷ 27 or
31 2 27