Question
What is the quotient and remainder when $ 564 $ is divided by $ 76 $ ?
Answer
The quotient is 7 and the remainder is 32.
Explanation
| Division Table | ||||
| 0 | 0 | 7 | ||
| 7 | 6 | 5 | 6 | 4 |
| – | 0 | |||
| 5 | 6 | |||
| – | 0 | |||
| 5 | 6 | 4 | ||
| – | 5 | 3 | 2 | |
| 3 | 2 | |||
|
STEP 0: set up a division table |
||||
| 7 | 6 | 5 | 6 | 4 |
|
STEP 1: DIVIDE 5 : 76 = 0 with a remainder of 5 |
||||
| 0 | ||||
| 7 | 6 | 5 | 6 | 4 |
|
STEP 2: MULTIPLY 0 · 76 = 0 |
||||
| 0 | ||||
| 7 | 6 | 5 | 6 | 4 |
| 0 | ||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
||||
| 0 | ||||
| 7 | 6 | 5 | 6 | 4 |
| – | 0 | |||
| 5 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 7 | 6 | 5 | 6 | 4 |
| – | 0 | |||
| 5 | 6 | |||
|
STEP 5: DIVIDE 56 : 76 = 0 with a remainder of 56 |
||||
| 0 | 0 | |||
| 7 | 6 | 5 | 6 | 4 |
| – | 0 | |||
| 5 | 6 | |||
|
STEP 6: MULTIPLY 0 · 76 = 0 |
||||
| 0 | 0 | |||
| 7 | 6 | 5 | 6 | 4 |
| – | 0 | |||
| 5 | 6 | |||
| 0 | ||||
|
STEP 7: SUBTRACT 56 - 0 = 56 |
||||
| 0 | 0 | |||
| 7 | 6 | 5 | 6 | 4 |
| – | 0 | |||
| 5 | 6 | |||
| – | 0 | |||
| 5 | 6 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 0 | |||
| 7 | 6 | 5 | 6 | 4 |
| – | 0 | |||
| 5 | 6 | |||
| – | 0 | |||
| 5 | 6 | 4 | ||
|
STEP 9: DIVIDE 564 : 76 = 7 with a remainder of 32 |
||||
| 0 | 0 | 7 | ||
| 7 | 6 | 5 | 6 | 4 |
| – | 0 | |||
| 5 | 6 | |||
| – | 0 | |||
| 5 | 6 | 4 | ||
|
STEP 10: MULTIPLY 7 · 76 = 532 |
||||
| 0 | 0 | 7 | ||
| 7 | 6 | 5 | 6 | 4 |
| – | 0 | |||
| 5 | 6 | |||
| – | 0 | |||
| 5 | 6 | 4 | ||
| 5 | 3 | 2 | ||
|
STEP 11: SUBTRACT 564 - 532 = 32 |
||||
| 0 | 0 | 7 | ||
| 7 | 6 | 5 | 6 | 4 |
| – | 0 | |||
| 5 | 6 | |||
| – | 0 | |||
| 5 | 6 | 4 | ||
| – | 5 | 3 | 2 | |
| 3 | 2 | |||
|
STEP 11: SUBTRACT 564 - 532 = 32 |
||||
| 0 | 0 | 7 | ||
| 7 | 6 | 5 | 6 | 4 |
| – | 0 | |||
| 5 | 6 | |||
| – | 0 | |||
| 5 | 6 | 4 | ||
| – | 5 | 3 | 2 | |
| 3 | 2 | |||
This page was created using
Long division calculator