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What is the quotient and remainder when $ 5320 $ is divided by $ 67 $ ?
Answer
The quotient is 79 and the remainder is 27.
Explanation
Division Table
|
| | 0 | 0 | 7 | 9 |
6 | 7 | 5 | 3 | 2 | 0 |
| – | 0 | | | |
| | 5 | 3 | | |
| | – | 0 | | |
| | 5 | 3 | 2 | |
| – | 4 | 6 | 9 | |
| | | 6 | 3 | 0 |
| | – | 6 | 0 | 3 |
| | | | 2 | 7 |
STEP 0: set up a division table
|
| | | | | |
6 | 7 | 5 | 3 | 2 | 0 |
STEP 1: DIVIDE 5 : 67 = 0 with a remainder of 5
|
| | 0 | | | |
6 | 7 | 5 | 3 | 2 | 0 |
STEP 2: MULTIPLY 0 · 67 = 0
|
| | 0 | | | |
6 | 7 | 5 | 3 | 2 | 0 |
| | 0 | | | |
STEP 3: SUBTRACT 5 - 0 = 5
|
| | 0 | | | |
6 | 7 | 5 | 3 | 2 | 0 |
| – | 0 | | | |
| | 5 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
6 | 7 | 5 | 3 | 2 | 0 |
| – | 0 | | | |
| | 5 | 3 | | |
STEP 5: DIVIDE 53 : 67 = 0 with a remainder of 53
|
| | 0 | 0 | | |
6 | 7 | 5 | 3 | 2 | 0 |
| – | 0 | | | |
| | 5 | 3 | | |
STEP 6: MULTIPLY 0 · 67 = 0
|
| | 0 | 0 | | |
6 | 7 | 5 | 3 | 2 | 0 |
| – | 0 | | | |
| | 5 | 3 | | |
| | | 0 | | |
STEP 7: SUBTRACT 53 - 0 = 53
|
| | 0 | 0 | | |
6 | 7 | 5 | 3 | 2 | 0 |
| – | 0 | | | |
| | 5 | 3 | | |
| | – | 0 | | |
| | 5 | 3 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
6 | 7 | 5 | 3 | 2 | 0 |
| – | 0 | | | |
| | 5 | 3 | | |
| | – | 0 | | |
| | 5 | 3 | 2 | |
STEP 9: DIVIDE 532 : 67 = 7 with a remainder of 63
|
| | 0 | 0 | 7 | |
6 | 7 | 5 | 3 | 2 | 0 |
| – | 0 | | | |
| | 5 | 3 | | |
| | – | 0 | | |
| | 5 | 3 | 2 | |
STEP 10: MULTIPLY 7 · 67 = 469
|
| | 0 | 0 | 7 | |
6 | 7 | 5 | 3 | 2 | 0 |
| – | 0 | | | |
| | 5 | 3 | | |
| | – | 0 | | |
| | 5 | 3 | 2 | |
| | 4 | 6 | 9 | |
STEP 11: SUBTRACT 532 - 469 = 63
|
| | 0 | 0 | 7 | |
6 | 7 | 5 | 3 | 2 | 0 |
| – | 0 | | | |
| | 5 | 3 | | |
| | – | 0 | | |
| | 5 | 3 | 2 | |
| – | 4 | 6 | 9 | |
| | | 6 | 3 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 7 | |
6 | 7 | 5 | 3 | 2 | 0 |
| – | 0 | | | |
| | 5 | 3 | | |
| | – | 0 | | |
| | 5 | 3 | 2 | |
| – | 4 | 6 | 9 | |
| | | 6 | 3 | 0 |
STEP 13: DIVIDE 630 : 67 = 9 with a remainder of 27
|
| | 0 | 0 | 7 | 9 |
6 | 7 | 5 | 3 | 2 | 0 |
| – | 0 | | | |
| | 5 | 3 | | |
| | – | 0 | | |
| | 5 | 3 | 2 | |
| – | 4 | 6 | 9 | |
| | | 6 | 3 | 0 |
STEP 14: MULTIPLY 9 · 67 = 603
|
| | 0 | 0 | 7 | 9 |
6 | 7 | 5 | 3 | 2 | 0 |
| – | 0 | | | |
| | 5 | 3 | | |
| | – | 0 | | |
| | 5 | 3 | 2 | |
| – | 4 | 6 | 9 | |
| | | 6 | 3 | 0 |
| | | 6 | 0 | 3 |
STEP 15: SUBTRACT 630 - 603 = 27
|
| | 0 | 0 | 7 | 9 |
6 | 7 | 5 | 3 | 2 | 0 |
| – | 0 | | | |
| | 5 | 3 | | |
| | – | 0 | | |
| | 5 | 3 | 2 | |
| – | 4 | 6 | 9 | |
| | | 6 | 3 | 0 |
| | – | 6 | 0 | 3 |
| | | | 2 | 7 |
STEP 15: SUBTRACT 630 - 603 = 27
|
| | 0 | 0 | 7 | 9 |
6 | 7 | 5 | 3 | 2 | 0 |
| – | 0 | | | |
| | 5 | 3 | | |
| | – | 0 | | |
| | 5 | 3 | 2 | |
| – | 4 | 6 | 9 | |
| | | 6 | 3 | 0 |
| | – | 6 | 0 | 3 |
| | | | 2 | 7 |
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