Question
What is the quotient and remainder when $ 8156 $ is divided by $ 39 $ ?
Answer
The quotient is 209 and the remainder is 5.
Explanation
| Division Table | |||||
| 0 | 2 | 0 | 9 | ||
| 3 | 9 | 8 | 1 | 5 | 6 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 7 | 8 | |||
| 3 | 5 | ||||
| – | 0 | ||||
| 3 | 5 | 6 | |||
| – | 3 | 5 | 1 | ||
| 5 | |||||
|
STEP 0: set up a division table |
|||||
| 3 | 9 | 8 | 1 | 5 | 6 |
|
STEP 1: DIVIDE 8 : 39 = 0 with a remainder of 8 |
|||||
| 0 | |||||
| 3 | 9 | 8 | 1 | 5 | 6 |
|
STEP 2: MULTIPLY 0 · 39 = 0 |
|||||
| 0 | |||||
| 3 | 9 | 8 | 1 | 5 | 6 |
| 0 | |||||
|
STEP 3: SUBTRACT 8 - 0 = 8 |
|||||
| 0 | |||||
| 3 | 9 | 8 | 1 | 5 | 6 |
| – | 0 | ||||
| 8 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 3 | 9 | 8 | 1 | 5 | 6 |
| – | 0 | ||||
| 8 | 1 | ||||
|
STEP 5: DIVIDE 81 : 39 = 2 with a remainder of 3 |
|||||
| 0 | 2 | ||||
| 3 | 9 | 8 | 1 | 5 | 6 |
| – | 0 | ||||
| 8 | 1 | ||||
|
STEP 6: MULTIPLY 2 · 39 = 78 |
|||||
| 0 | 2 | ||||
| 3 | 9 | 8 | 1 | 5 | 6 |
| – | 0 | ||||
| 8 | 1 | ||||
| 7 | 8 | ||||
|
STEP 7: SUBTRACT 81 - 78 = 3 |
|||||
| 0 | 2 | ||||
| 3 | 9 | 8 | 1 | 5 | 6 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 7 | 8 | |||
| 3 | |||||
| STEP 8: BRING DOWN | |||||
| 0 | 2 | ||||
| 3 | 9 | 8 | 1 | 5 | 6 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 7 | 8 | |||
| 3 | 5 | ||||
|
STEP 9: DIVIDE 35 : 39 = 0 with a remainder of 35 |
|||||
| 0 | 2 | 0 | |||
| 3 | 9 | 8 | 1 | 5 | 6 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 7 | 8 | |||
| 3 | 5 | ||||
|
STEP 10: MULTIPLY 0 · 39 = 0 |
|||||
| 0 | 2 | 0 | |||
| 3 | 9 | 8 | 1 | 5 | 6 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 7 | 8 | |||
| 3 | 5 | ||||
| 0 | |||||
|
STEP 11: SUBTRACT 35 - 0 = 35 |
|||||
| 0 | 2 | 0 | |||
| 3 | 9 | 8 | 1 | 5 | 6 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 7 | 8 | |||
| 3 | 5 | ||||
| – | 0 | ||||
| 3 | 5 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 2 | 0 | |||
| 3 | 9 | 8 | 1 | 5 | 6 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 7 | 8 | |||
| 3 | 5 | ||||
| – | 0 | ||||
| 3 | 5 | 6 | |||
|
STEP 13: DIVIDE 356 : 39 = 9 with a remainder of 5 |
|||||
| 0 | 2 | 0 | 9 | ||
| 3 | 9 | 8 | 1 | 5 | 6 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 7 | 8 | |||
| 3 | 5 | ||||
| – | 0 | ||||
| 3 | 5 | 6 | |||
|
STEP 14: MULTIPLY 9 · 39 = 351 |
|||||
| 0 | 2 | 0 | 9 | ||
| 3 | 9 | 8 | 1 | 5 | 6 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 7 | 8 | |||
| 3 | 5 | ||||
| – | 0 | ||||
| 3 | 5 | 6 | |||
| 3 | 5 | 1 | |||
|
STEP 15: SUBTRACT 356 - 351 = 5 |
|||||
| 0 | 2 | 0 | 9 | ||
| 3 | 9 | 8 | 1 | 5 | 6 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 7 | 8 | |||
| 3 | 5 | ||||
| – | 0 | ||||
| 3 | 5 | 6 | |||
| – | 3 | 5 | 1 | ||
| 5 | |||||
|
STEP 15: SUBTRACT 356 - 351 = 5 |
|||||
| 0 | 2 | 0 | 9 | ||
| 3 | 9 | 8 | 1 | 5 | 6 |
| – | 0 | ||||
| 8 | 1 | ||||
| – | 7 | 8 | |||
| 3 | 5 | ||||
| – | 0 | ||||
| 3 | 5 | 6 | |||
| – | 3 | 5 | 1 | ||
| 5 | |||||
This page was created using
Long division calculator