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What is the quotient and remainder when $ 7616 $ is divided by $ 7 $ ?
Answer
The quotient is 1088 and the remainder is 0.
Explanation
Division Table
|
| 1 | 0 | 8 | 8 |
7 | 7 | 6 | 1 | 6 |
– | 7 | | | |
| 6 | | | |
– | 0 | | | |
| 6 | 1 | | |
– | 5 | 6 | | |
| | 5 | 6 | |
| – | 5 | 6 | |
| | | 0 | |
STEP 0: set up a division table
|
| | | | |
7 | 7 | 6 | 1 | 6 |
STEP 1: DIVIDE 7 : 7 = 1 with a remainder of 0
|
| 1 | | | |
7 | 7 | 6 | 1 | 6 |
STEP 2: MULTIPLY 1 · 7 = 7
|
| 1 | | | |
7 | 7 | 6 | 1 | 6 |
| 7 | | | |
STEP 3: SUBTRACT 7 - 7 = 0
|
| 1 | | | |
7 | 7 | 6 | 1 | 6 |
– | 7 | | | |
| 0 | | | |
STEP 4: BRING DOWN
|
| 1 | | | |
7 | 7 | 6 | 1 | 6 |
– | 7 | | | |
| 6 | | | |
STEP 5: DIVIDE 6 : 7 = 0 with a remainder of 6
|
| 1 | 0 | | |
7 | 7 | 6 | 1 | 6 |
– | 7 | | | |
| 6 | | | |
STEP 6: MULTIPLY 0 · 7 = 0
|
| 1 | 0 | | |
7 | 7 | 6 | 1 | 6 |
– | 7 | | | |
| 6 | | | |
| 0 | | | |
STEP 7: SUBTRACT 6 - 0 = 6
|
| 1 | 0 | | |
7 | 7 | 6 | 1 | 6 |
– | 7 | | | |
| 6 | | | |
– | 0 | | | |
| 6 | | | |
STEP 8: BRING DOWN
|
| 1 | 0 | | |
7 | 7 | 6 | 1 | 6 |
– | 7 | | | |
| 6 | | | |
– | 0 | | | |
| 6 | 1 | | |
STEP 9: DIVIDE 61 : 7 = 8 with a remainder of 5
|
| 1 | 0 | 8 | |
7 | 7 | 6 | 1 | 6 |
– | 7 | | | |
| 6 | | | |
– | 0 | | | |
| 6 | 1 | | |
STEP 10: MULTIPLY 8 · 7 = 56
|
| 1 | 0 | 8 | |
7 | 7 | 6 | 1 | 6 |
– | 7 | | | |
| 6 | | | |
– | 0 | | | |
| 6 | 1 | | |
| 5 | 6 | | |
STEP 11: SUBTRACT 61 - 56 = 5
|
| 1 | 0 | 8 | |
7 | 7 | 6 | 1 | 6 |
– | 7 | | | |
| 6 | | | |
– | 0 | | | |
| 6 | 1 | | |
– | 5 | 6 | | |
| | 5 | | |
STEP 12: BRING DOWN
|
| 1 | 0 | 8 | |
7 | 7 | 6 | 1 | 6 |
– | 7 | | | |
| 6 | | | |
– | 0 | | | |
| 6 | 1 | | |
– | 5 | 6 | | |
| | 5 | 6 | |
STEP 13: DIVIDE 56 : 7 = 8 with a remainder of 0
|
| 1 | 0 | 8 | 8 |
7 | 7 | 6 | 1 | 6 |
– | 7 | | | |
| 6 | | | |
– | 0 | | | |
| 6 | 1 | | |
– | 5 | 6 | | |
| | 5 | 6 | |
STEP 14: MULTIPLY 8 · 7 = 56
|
| 1 | 0 | 8 | 8 |
7 | 7 | 6 | 1 | 6 |
– | 7 | | | |
| 6 | | | |
– | 0 | | | |
| 6 | 1 | | |
– | 5 | 6 | | |
| | 5 | 6 | |
| | 5 | 6 | |
STEP 15: SUBTRACT 56 - 56 = 0
|
| 1 | 0 | 8 | 8 |
7 | 7 | 6 | 1 | 6 |
– | 7 | | | |
| 6 | | | |
– | 0 | | | |
| 6 | 1 | | |
– | 5 | 6 | | |
| | 5 | 6 | |
| – | 5 | 6 | |
| | | 0 | |
STEP 15: SUBTRACT 56 - 56 = 0
|
| 1 | 0 | 8 | 8 |
7 | 7 | 6 | 1 | 6 |
– | 7 | | | |
| 6 | | | |
– | 0 | | | |
| 6 | 1 | | |
– | 5 | 6 | | |
| | 5 | 6 | |
| – | 5 | 6 | |
| | | 0 | |
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