Question
What is the quotient and remainder when $ 4976 $ is divided by $ 31 $ ?
Answer
The quotient is 160 and the remainder is 16.
Explanation
| Division Table | |||||
| 0 | 1 | 6 | 0 | ||
| 3 | 1 | 4 | 9 | 7 | 6 |
| – | 0 | ||||
| 4 | 9 | ||||
| – | 3 | 1 | |||
| 1 | 8 | 7 | |||
| – | 1 | 8 | 6 | ||
| 1 | 6 | ||||
| – | 0 | ||||
| 1 | 6 | ||||
|
STEP 0: set up a division table |
|||||
| 3 | 1 | 4 | 9 | 7 | 6 |
|
STEP 1: DIVIDE 4 : 31 = 0 with a remainder of 4 |
|||||
| 0 | |||||
| 3 | 1 | 4 | 9 | 7 | 6 |
|
STEP 2: MULTIPLY 0 · 31 = 0 |
|||||
| 0 | |||||
| 3 | 1 | 4 | 9 | 7 | 6 |
| 0 | |||||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
|||||
| 0 | |||||
| 3 | 1 | 4 | 9 | 7 | 6 |
| – | 0 | ||||
| 4 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 3 | 1 | 4 | 9 | 7 | 6 |
| – | 0 | ||||
| 4 | 9 | ||||
|
STEP 5: DIVIDE 49 : 31 = 1 with a remainder of 18 |
|||||
| 0 | 1 | ||||
| 3 | 1 | 4 | 9 | 7 | 6 |
| – | 0 | ||||
| 4 | 9 | ||||
|
STEP 6: MULTIPLY 1 · 31 = 31 |
|||||
| 0 | 1 | ||||
| 3 | 1 | 4 | 9 | 7 | 6 |
| – | 0 | ||||
| 4 | 9 | ||||
| 3 | 1 | ||||
|
STEP 7: SUBTRACT 49 - 31 = 18 |
|||||
| 0 | 1 | ||||
| 3 | 1 | 4 | 9 | 7 | 6 |
| – | 0 | ||||
| 4 | 9 | ||||
| – | 3 | 1 | |||
| 1 | 8 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 1 | ||||
| 3 | 1 | 4 | 9 | 7 | 6 |
| – | 0 | ||||
| 4 | 9 | ||||
| – | 3 | 1 | |||
| 1 | 8 | 7 | |||
|
STEP 9: DIVIDE 187 : 31 = 6 with a remainder of 1 |
|||||
| 0 | 1 | 6 | |||
| 3 | 1 | 4 | 9 | 7 | 6 |
| – | 0 | ||||
| 4 | 9 | ||||
| – | 3 | 1 | |||
| 1 | 8 | 7 | |||
|
STEP 10: MULTIPLY 6 · 31 = 186 |
|||||
| 0 | 1 | 6 | |||
| 3 | 1 | 4 | 9 | 7 | 6 |
| – | 0 | ||||
| 4 | 9 | ||||
| – | 3 | 1 | |||
| 1 | 8 | 7 | |||
| 1 | 8 | 6 | |||
|
STEP 11: SUBTRACT 187 - 186 = 1 |
|||||
| 0 | 1 | 6 | |||
| 3 | 1 | 4 | 9 | 7 | 6 |
| – | 0 | ||||
| 4 | 9 | ||||
| – | 3 | 1 | |||
| 1 | 8 | 7 | |||
| – | 1 | 8 | 6 | ||
| 1 | |||||
| STEP 12: BRING DOWN | |||||
| 0 | 1 | 6 | |||
| 3 | 1 | 4 | 9 | 7 | 6 |
| – | 0 | ||||
| 4 | 9 | ||||
| – | 3 | 1 | |||
| 1 | 8 | 7 | |||
| – | 1 | 8 | 6 | ||
| 1 | 6 | ||||
|
STEP 13: DIVIDE 16 : 31 = 0 with a remainder of 16 |
|||||
| 0 | 1 | 6 | 0 | ||
| 3 | 1 | 4 | 9 | 7 | 6 |
| – | 0 | ||||
| 4 | 9 | ||||
| – | 3 | 1 | |||
| 1 | 8 | 7 | |||
| – | 1 | 8 | 6 | ||
| 1 | 6 | ||||
|
STEP 14: MULTIPLY 0 · 31 = 0 |
|||||
| 0 | 1 | 6 | 0 | ||
| 3 | 1 | 4 | 9 | 7 | 6 |
| – | 0 | ||||
| 4 | 9 | ||||
| – | 3 | 1 | |||
| 1 | 8 | 7 | |||
| – | 1 | 8 | 6 | ||
| 1 | 6 | ||||
| 0 | |||||
|
STEP 15: SUBTRACT 16 - 0 = 16 |
|||||
| 0 | 1 | 6 | 0 | ||
| 3 | 1 | 4 | 9 | 7 | 6 |
| – | 0 | ||||
| 4 | 9 | ||||
| – | 3 | 1 | |||
| 1 | 8 | 7 | |||
| – | 1 | 8 | 6 | ||
| 1 | 6 | ||||
| – | 0 | ||||
| 1 | 6 | ||||
|
STEP 15: SUBTRACT 16 - 0 = 16 |
|||||
| 0 | 1 | 6 | 0 | ||
| 3 | 1 | 4 | 9 | 7 | 6 |
| – | 0 | ||||
| 4 | 9 | ||||
| – | 3 | 1 | |||
| 1 | 8 | 7 | |||
| – | 1 | 8 | 6 | ||
| 1 | 6 | ||||
| – | 0 | ||||
| 1 | 6 | ||||
This page was created using
Long division calculator