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What is the quotient and remainder when $ 4977 $ is divided by $ 7 $ ?
Answer
The quotient is 711 and the remainder is 0.
Explanation
Division Table
|
| 0 | 7 | 1 | 1 |
7 | 4 | 9 | 7 | 7 |
– | 0 | | | |
| 4 | 9 | | |
– | 4 | 9 | | |
| | 7 | | |
| – | 7 | | |
| | 7 | | |
| – | 7 | | |
| | 0 | | |
STEP 0: set up a division table
|
| | | | |
7 | 4 | 9 | 7 | 7 |
STEP 1: DIVIDE 4 : 7 = 0 with a remainder of 4
|
| 0 | | | |
7 | 4 | 9 | 7 | 7 |
STEP 2: MULTIPLY 0 · 7 = 0
|
| 0 | | | |
7 | 4 | 9 | 7 | 7 |
| 0 | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| 0 | | | |
7 | 4 | 9 | 7 | 7 |
– | 0 | | | |
| 4 | | | |
STEP 4: BRING DOWN
|
| 0 | | | |
7 | 4 | 9 | 7 | 7 |
– | 0 | | | |
| 4 | 9 | | |
STEP 5: DIVIDE 49 : 7 = 7 with a remainder of 0
|
| 0 | 7 | | |
7 | 4 | 9 | 7 | 7 |
– | 0 | | | |
| 4 | 9 | | |
STEP 6: MULTIPLY 7 · 7 = 49
|
| 0 | 7 | | |
7 | 4 | 9 | 7 | 7 |
– | 0 | | | |
| 4 | 9 | | |
| 4 | 9 | | |
STEP 7: SUBTRACT 49 - 49 = 0
|
| 0 | 7 | | |
7 | 4 | 9 | 7 | 7 |
– | 0 | | | |
| 4 | 9 | | |
– | 4 | 9 | | |
| | 0 | | |
STEP 8: BRING DOWN
|
| 0 | 7 | | |
7 | 4 | 9 | 7 | 7 |
– | 0 | | | |
| 4 | 9 | | |
– | 4 | 9 | | |
| | 7 | | |
STEP 9: DIVIDE 7 : 7 = 1 with a remainder of 0
|
| 0 | 7 | 1 | |
7 | 4 | 9 | 7 | 7 |
– | 0 | | | |
| 4 | 9 | | |
– | 4 | 9 | | |
| | 7 | | |
STEP 10: MULTIPLY 1 · 7 = 7
|
| 0 | 7 | 1 | |
7 | 4 | 9 | 7 | 7 |
– | 0 | | | |
| 4 | 9 | | |
– | 4 | 9 | | |
| | 7 | | |
| | 7 | | |
STEP 11: SUBTRACT 7 - 7 = 0
|
| 0 | 7 | 1 | |
7 | 4 | 9 | 7 | 7 |
– | 0 | | | |
| 4 | 9 | | |
– | 4 | 9 | | |
| | 7 | | |
| – | 7 | | |
| | 0 | | |
STEP 12: BRING DOWN
|
| 0 | 7 | 1 | |
7 | 4 | 9 | 7 | 7 |
– | 0 | | | |
| 4 | 9 | | |
– | 4 | 9 | | |
| | 7 | | |
| – | 7 | | |
| | 7 | | |
STEP 13: DIVIDE 7 : 7 = 1 with a remainder of 0
|
| 0 | 7 | 1 | 1 |
7 | 4 | 9 | 7 | 7 |
– | 0 | | | |
| 4 | 9 | | |
– | 4 | 9 | | |
| | 7 | | |
| – | 7 | | |
| | 7 | | |
STEP 14: MULTIPLY 1 · 7 = 7
|
| 0 | 7 | 1 | 1 |
7 | 4 | 9 | 7 | 7 |
– | 0 | | | |
| 4 | 9 | | |
– | 4 | 9 | | |
| | 7 | | |
| – | 7 | | |
| | 7 | | |
| | 7 | | |
STEP 15: SUBTRACT 7 - 7 = 0
|
| 0 | 7 | 1 | 1 |
7 | 4 | 9 | 7 | 7 |
– | 0 | | | |
| 4 | 9 | | |
– | 4 | 9 | | |
| | 7 | | |
| – | 7 | | |
| | 7 | | |
| – | 7 | | |
| | 0 | | |
STEP 15: SUBTRACT 7 - 7 = 0
|
| 0 | 7 | 1 | 1 |
7 | 4 | 9 | 7 | 7 |
– | 0 | | | |
| 4 | 9 | | |
– | 4 | 9 | | |
| | 7 | | |
| – | 7 | | |
| | 7 | | |
| – | 7 | | |
| | 0 | | |
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