Question
What is the quotient and remainder when $ 410 $ is divided by $ 5 $ ?
Answer
The quotient is 82 and the remainder is 0.
Explanation
| Division Table | |||
| 0 | 8 | 2 | |
| 5 | 4 | 1 | 0 |
| – | 0 | ||
| 4 | 1 | ||
| – | 4 | 0 | |
| 1 | 0 | ||
| – | 1 | 0 | |
| 0 | |||
|
STEP 0: set up a division table |
|||
| 5 | 4 | 1 | 0 |
|
STEP 1: DIVIDE 4 : 5 = 0 with a remainder of 4 |
|||
| 0 | |||
| 5 | 4 | 1 | 0 |
|
STEP 2: MULTIPLY 0 · 5 = 0 |
|||
| 0 | |||
| 5 | 4 | 1 | 0 |
| 0 | |||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
|||
| 0 | |||
| 5 | 4 | 1 | 0 |
| – | 0 | ||
| 4 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 5 | 4 | 1 | 0 |
| – | 0 | ||
| 4 | 1 | ||
|
STEP 5: DIVIDE 41 : 5 = 8 with a remainder of 1 |
|||
| 0 | 8 | ||
| 5 | 4 | 1 | 0 |
| – | 0 | ||
| 4 | 1 | ||
|
STEP 6: MULTIPLY 8 · 5 = 40 |
|||
| 0 | 8 | ||
| 5 | 4 | 1 | 0 |
| – | 0 | ||
| 4 | 1 | ||
| 4 | 0 | ||
|
STEP 7: SUBTRACT 41 - 40 = 1 |
|||
| 0 | 8 | ||
| 5 | 4 | 1 | 0 |
| – | 0 | ||
| 4 | 1 | ||
| – | 4 | 0 | |
| 1 | |||
| STEP 8: BRING DOWN | |||
| 0 | 8 | ||
| 5 | 4 | 1 | 0 |
| – | 0 | ||
| 4 | 1 | ||
| – | 4 | 0 | |
| 1 | 0 | ||
|
STEP 9: DIVIDE 10 : 5 = 2 with a remainder of 0 |
|||
| 0 | 8 | 2 | |
| 5 | 4 | 1 | 0 |
| – | 0 | ||
| 4 | 1 | ||
| – | 4 | 0 | |
| 1 | 0 | ||
|
STEP 10: MULTIPLY 2 · 5 = 10 |
|||
| 0 | 8 | 2 | |
| 5 | 4 | 1 | 0 |
| – | 0 | ||
| 4 | 1 | ||
| – | 4 | 0 | |
| 1 | 0 | ||
| 1 | 0 | ||
|
STEP 11: SUBTRACT 10 - 10 = 0 |
|||
| 0 | 8 | 2 | |
| 5 | 4 | 1 | 0 |
| – | 0 | ||
| 4 | 1 | ||
| – | 4 | 0 | |
| 1 | 0 | ||
| – | 1 | 0 | |
| 0 | |||
|
STEP 11: SUBTRACT 10 - 10 = 0 |
|||
| 0 | 8 | 2 | |
| 5 | 4 | 1 | 0 |
| – | 0 | ||
| 4 | 1 | ||
| – | 4 | 0 | |
| 1 | 0 | ||
| – | 1 | 0 | |
| 0 | |||
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