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Question
What is the quotient and remainder when $ 635 $ is divided by $ 7 $ ?
Answer
The quotient is 90 and the remainder is 5.
Explanation
|
Division Table
|
| | 0 | 9 | 0 |
| 7 | 6 | 3 | 5 |
| – | 0 | | |
| | 6 | 3 | |
| – | 6 | 3 | |
| | | 5 | |
| | – | 0 | |
| | | 5 | |
STEP 0: set up a division table
|
| | | | |
| 7 | 6 | 3 | 5 |
STEP 1: DIVIDE 6 : 7 = 0 with a remainder of 6
|
| | 0 | | |
| 7 | 6 | 3 | 5 |
STEP 2: MULTIPLY 0 · 7 = 0
|
| | 0 | | |
| 7 | 6 | 3 | 5 |
| | 0 | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | 0 | | |
| 7 | 6 | 3 | 5 |
| – | 0 | | |
| | 6 | | |
|
STEP 4: BRING DOWN
|
| | 0 | | |
| 7 | 6 | 3 | 5 |
| – | 0 | | |
| | 6 | 3 | |
STEP 5: DIVIDE 63 : 7 = 9 with a remainder of 0
|
| | 0 | 9 | |
| 7 | 6 | 3 | 5 |
| – | 0 | | |
| | 6 | 3 | |
STEP 6: MULTIPLY 9 · 7 = 63
|
| | 0 | 9 | |
| 7 | 6 | 3 | 5 |
| – | 0 | | |
| | 6 | 3 | |
| | 6 | 3 | |
STEP 7: SUBTRACT 63 - 63 = 0
|
| | 0 | 9 | |
| 7 | 6 | 3 | 5 |
| – | 0 | | |
| | 6 | 3 | |
| – | 6 | 3 | |
| | | 0 | |
|
STEP 8: BRING DOWN
|
| | 0 | 9 | |
| 7 | 6 | 3 | 5 |
| – | 0 | | |
| | 6 | 3 | |
| – | 6 | 3 | |
| | | 5 | |
STEP 9: DIVIDE 5 : 7 = 0 with a remainder of 5
|
| | 0 | 9 | 0 |
| 7 | 6 | 3 | 5 |
| – | 0 | | |
| | 6 | 3 | |
| – | 6 | 3 | |
| | | 5 | |
STEP 10: MULTIPLY 0 · 7 = 0
|
| | 0 | 9 | 0 |
| 7 | 6 | 3 | 5 |
| – | 0 | | |
| | 6 | 3 | |
| – | 6 | 3 | |
| | | 5 | |
| | | 0 | |
STEP 11: SUBTRACT 5 - 0 = 5
|
| | 0 | 9 | 0 |
| 7 | 6 | 3 | 5 |
| – | 0 | | |
| | 6 | 3 | |
| – | 6 | 3 | |
| | | 5 | |
| | – | 0 | |
| | | 5 | |
STEP 11: SUBTRACT 5 - 0 = 5
|
| | 0 | 9 | 0 |
| 7 | 6 | 3 | 5 |
| – | 0 | | |
| | 6 | 3 | |
| – | 6 | 3 | |
| | | 5 | |
| | – | 0 | |
| | | 5 | |
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