Question
What is the quotient and remainder when $ 753 $ is divided by $ 7 $ ?
Answer
The quotient is 107 and the remainder is 4.
Explanation
| Division Table | |||
| 1 | 0 | 7 | |
| 7 | 7 | 5 | 3 |
| – | 7 | ||
| 5 | |||
| – | 0 | ||
| 5 | 3 | ||
| – | 4 | 9 | |
| 4 | |||
|
STEP 0: set up a division table |
|||
| 7 | 7 | 5 | 3 |
|
STEP 1: DIVIDE 7 : 7 = 1 with a remainder of 0 |
|||
| 1 | |||
| 7 | 7 | 5 | 3 |
|
STEP 2: MULTIPLY 1 · 7 = 7 |
|||
| 1 | |||
| 7 | 7 | 5 | 3 |
| 7 | |||
|
STEP 3: SUBTRACT 7 - 7 = 0 |
|||
| 1 | |||
| 7 | 7 | 5 | 3 |
| – | 7 | ||
| 0 | |||
| STEP 4: BRING DOWN | |||
| 1 | |||
| 7 | 7 | 5 | 3 |
| – | 7 | ||
| 5 | |||
|
STEP 5: DIVIDE 5 : 7 = 0 with a remainder of 5 |
|||
| 1 | 0 | ||
| 7 | 7 | 5 | 3 |
| – | 7 | ||
| 5 | |||
|
STEP 6: MULTIPLY 0 · 7 = 0 |
|||
| 1 | 0 | ||
| 7 | 7 | 5 | 3 |
| – | 7 | ||
| 5 | |||
| 0 | |||
|
STEP 7: SUBTRACT 5 - 0 = 5 |
|||
| 1 | 0 | ||
| 7 | 7 | 5 | 3 |
| – | 7 | ||
| 5 | |||
| – | 0 | ||
| 5 | |||
| STEP 8: BRING DOWN | |||
| 1 | 0 | ||
| 7 | 7 | 5 | 3 |
| – | 7 | ||
| 5 | |||
| – | 0 | ||
| 5 | 3 | ||
|
STEP 9: DIVIDE 53 : 7 = 7 with a remainder of 4 |
|||
| 1 | 0 | 7 | |
| 7 | 7 | 5 | 3 |
| – | 7 | ||
| 5 | |||
| – | 0 | ||
| 5 | 3 | ||
|
STEP 10: MULTIPLY 7 · 7 = 49 |
|||
| 1 | 0 | 7 | |
| 7 | 7 | 5 | 3 |
| – | 7 | ||
| 5 | |||
| – | 0 | ||
| 5 | 3 | ||
| 4 | 9 | ||
|
STEP 11: SUBTRACT 53 - 49 = 4 |
|||
| 1 | 0 | 7 | |
| 7 | 7 | 5 | 3 |
| – | 7 | ||
| 5 | |||
| – | 0 | ||
| 5 | 3 | ||
| – | 4 | 9 | |
| 4 | |||
|
STEP 11: SUBTRACT 53 - 49 = 4 |
|||
| 1 | 0 | 7 | |
| 7 | 7 | 5 | 3 |
| – | 7 | ||
| 5 | |||
| – | 0 | ||
| 5 | 3 | ||
| – | 4 | 9 | |
| 4 | |||
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