Question
What is the quotient and remainder when $ 434 $ is divided by $ 7 $ ?
Answer
The quotient is 62 and the remainder is 0.
Explanation
| Division Table | |||
| 0 | 6 | 2 | |
| 7 | 4 | 3 | 4 |
| – | 0 | ||
| 4 | 3 | ||
| – | 4 | 2 | |
| 1 | 4 | ||
| – | 1 | 4 | |
| 0 | |||
|
STEP 0: set up a division table |
|||
| 7 | 4 | 3 | 4 |
|
STEP 1: DIVIDE 4 : 7 = 0 with a remainder of 4 |
|||
| 0 | |||
| 7 | 4 | 3 | 4 |
|
STEP 2: MULTIPLY 0 · 7 = 0 |
|||
| 0 | |||
| 7 | 4 | 3 | 4 |
| 0 | |||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
|||
| 0 | |||
| 7 | 4 | 3 | 4 |
| – | 0 | ||
| 4 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 7 | 4 | 3 | 4 |
| – | 0 | ||
| 4 | 3 | ||
|
STEP 5: DIVIDE 43 : 7 = 6 with a remainder of 1 |
|||
| 0 | 6 | ||
| 7 | 4 | 3 | 4 |
| – | 0 | ||
| 4 | 3 | ||
|
STEP 6: MULTIPLY 6 · 7 = 42 |
|||
| 0 | 6 | ||
| 7 | 4 | 3 | 4 |
| – | 0 | ||
| 4 | 3 | ||
| 4 | 2 | ||
|
STEP 7: SUBTRACT 43 - 42 = 1 |
|||
| 0 | 6 | ||
| 7 | 4 | 3 | 4 |
| – | 0 | ||
| 4 | 3 | ||
| – | 4 | 2 | |
| 1 | |||
| STEP 8: BRING DOWN | |||
| 0 | 6 | ||
| 7 | 4 | 3 | 4 |
| – | 0 | ||
| 4 | 3 | ||
| – | 4 | 2 | |
| 1 | 4 | ||
|
STEP 9: DIVIDE 14 : 7 = 2 with a remainder of 0 |
|||
| 0 | 6 | 2 | |
| 7 | 4 | 3 | 4 |
| – | 0 | ||
| 4 | 3 | ||
| – | 4 | 2 | |
| 1 | 4 | ||
|
STEP 10: MULTIPLY 2 · 7 = 14 |
|||
| 0 | 6 | 2 | |
| 7 | 4 | 3 | 4 |
| – | 0 | ||
| 4 | 3 | ||
| – | 4 | 2 | |
| 1 | 4 | ||
| 1 | 4 | ||
|
STEP 11: SUBTRACT 14 - 14 = 0 |
|||
| 0 | 6 | 2 | |
| 7 | 4 | 3 | 4 |
| – | 0 | ||
| 4 | 3 | ||
| – | 4 | 2 | |
| 1 | 4 | ||
| – | 1 | 4 | |
| 0 | |||
|
STEP 11: SUBTRACT 14 - 14 = 0 |
|||
| 0 | 6 | 2 | |
| 7 | 4 | 3 | 4 |
| – | 0 | ||
| 4 | 3 | ||
| – | 4 | 2 | |
| 1 | 4 | ||
| – | 1 | 4 | |
| 0 | |||
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