Question
What is the quotient and remainder when $ 5112 $ is divided by $ 710 $ ?
Answer
The quotient is 7 and the remainder is 142.
Explanation
| Division Table | ||||||
| 0 | 0 | 0 | 7 | |||
| 7 | 1 | 0 | 5 | 1 | 1 | 2 |
| – | 0 | |||||
| 5 | 1 | |||||
| – | 0 | |||||
| 5 | 1 | 1 | ||||
| – | 0 | |||||
| 5 | 1 | 1 | 2 | |||
| – | 4 | 9 | 7 | 0 | ||
| 1 | 4 | 2 | ||||
|
STEP 0: set up a division table |
||||||
| 7 | 1 | 0 | 5 | 1 | 1 | 2 |
|
STEP 1: DIVIDE 5 : 710 = 0 with a remainder of 5 |
||||||
| 0 | ||||||
| 7 | 1 | 0 | 5 | 1 | 1 | 2 |
|
STEP 2: MULTIPLY 0 · 710 = 0 |
||||||
| 0 | ||||||
| 7 | 1 | 0 | 5 | 1 | 1 | 2 |
| 0 | ||||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
||||||
| 0 | ||||||
| 7 | 1 | 0 | 5 | 1 | 1 | 2 |
| – | 0 | |||||
| 5 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 7 | 1 | 0 | 5 | 1 | 1 | 2 |
| – | 0 | |||||
| 5 | 1 | |||||
|
STEP 5: DIVIDE 51 : 710 = 0 with a remainder of 51 |
||||||
| 0 | 0 | |||||
| 7 | 1 | 0 | 5 | 1 | 1 | 2 |
| – | 0 | |||||
| 5 | 1 | |||||
|
STEP 6: MULTIPLY 0 · 710 = 0 |
||||||
| 0 | 0 | |||||
| 7 | 1 | 0 | 5 | 1 | 1 | 2 |
| – | 0 | |||||
| 5 | 1 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 51 - 0 = 51 |
||||||
| 0 | 0 | |||||
| 7 | 1 | 0 | 5 | 1 | 1 | 2 |
| – | 0 | |||||
| 5 | 1 | |||||
| – | 0 | |||||
| 5 | 1 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 7 | 1 | 0 | 5 | 1 | 1 | 2 |
| – | 0 | |||||
| 5 | 1 | |||||
| – | 0 | |||||
| 5 | 1 | 1 | ||||
|
STEP 9: DIVIDE 511 : 710 = 0 with a remainder of 511 |
||||||
| 0 | 0 | 0 | ||||
| 7 | 1 | 0 | 5 | 1 | 1 | 2 |
| – | 0 | |||||
| 5 | 1 | |||||
| – | 0 | |||||
| 5 | 1 | 1 | ||||
|
STEP 10: MULTIPLY 0 · 710 = 0 |
||||||
| 0 | 0 | 0 | ||||
| 7 | 1 | 0 | 5 | 1 | 1 | 2 |
| – | 0 | |||||
| 5 | 1 | |||||
| – | 0 | |||||
| 5 | 1 | 1 | ||||
| 0 | ||||||
|
STEP 11: SUBTRACT 511 - 0 = 511 |
||||||
| 0 | 0 | 0 | ||||
| 7 | 1 | 0 | 5 | 1 | 1 | 2 |
| – | 0 | |||||
| 5 | 1 | |||||
| – | 0 | |||||
| 5 | 1 | 1 | ||||
| – | 0 | |||||
| 5 | 1 | 1 | ||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 0 | ||||
| 7 | 1 | 0 | 5 | 1 | 1 | 2 |
| – | 0 | |||||
| 5 | 1 | |||||
| – | 0 | |||||
| 5 | 1 | 1 | ||||
| – | 0 | |||||
| 5 | 1 | 1 | 2 | |||
|
STEP 13: DIVIDE 5112 : 710 = 7 with a remainder of 142 |
||||||
| 0 | 0 | 0 | 7 | |||
| 7 | 1 | 0 | 5 | 1 | 1 | 2 |
| – | 0 | |||||
| 5 | 1 | |||||
| – | 0 | |||||
| 5 | 1 | 1 | ||||
| – | 0 | |||||
| 5 | 1 | 1 | 2 | |||
|
STEP 14: MULTIPLY 7 · 710 = 4970 |
||||||
| 0 | 0 | 0 | 7 | |||
| 7 | 1 | 0 | 5 | 1 | 1 | 2 |
| – | 0 | |||||
| 5 | 1 | |||||
| – | 0 | |||||
| 5 | 1 | 1 | ||||
| – | 0 | |||||
| 5 | 1 | 1 | 2 | |||
| 4 | 9 | 7 | 0 | |||
|
STEP 15: SUBTRACT 5112 - 4970 = 142 |
||||||
| 0 | 0 | 0 | 7 | |||
| 7 | 1 | 0 | 5 | 1 | 1 | 2 |
| – | 0 | |||||
| 5 | 1 | |||||
| – | 0 | |||||
| 5 | 1 | 1 | ||||
| – | 0 | |||||
| 5 | 1 | 1 | 2 | |||
| – | 4 | 9 | 7 | 0 | ||
| 1 | 4 | 2 | ||||
|
STEP 15: SUBTRACT 5112 - 4970 = 142 |
||||||
| 0 | 0 | 0 | 7 | |||
| 7 | 1 | 0 | 5 | 1 | 1 | 2 |
| – | 0 | |||||
| 5 | 1 | |||||
| – | 0 | |||||
| 5 | 1 | 1 | ||||
| – | 0 | |||||
| 5 | 1 | 1 | 2 | |||
| – | 4 | 9 | 7 | 0 | ||
| 1 | 4 | 2 | ||||
This page was created using
Long division calculator