Question
What is the quotient and remainder when $ 405 $ is divided by $ 3 $ ?
Answer
The quotient is 135 and the remainder is 0.
Explanation
| Division Table | |||
| 1 | 3 | 5 | |
| 3 | 4 | 0 | 5 |
| – | 3 | ||
| 1 | 0 | ||
| – | 9 | ||
| 1 | 5 | ||
| – | 1 | 5 | |
| 0 | |||
|
STEP 0: set up a division table |
|||
| 3 | 4 | 0 | 5 |
|
STEP 1: DIVIDE 4 : 3 = 1 with a remainder of 1 |
|||
| 1 | |||
| 3 | 4 | 0 | 5 |
|
STEP 2: MULTIPLY 1 · 3 = 3 |
|||
| 1 | |||
| 3 | 4 | 0 | 5 |
| 3 | |||
|
STEP 3: SUBTRACT 4 - 3 = 1 |
|||
| 1 | |||
| 3 | 4 | 0 | 5 |
| – | 3 | ||
| 1 | |||
| STEP 4: BRING DOWN | |||
| 1 | |||
| 3 | 4 | 0 | 5 |
| – | 3 | ||
| 1 | 0 | ||
|
STEP 5: DIVIDE 10 : 3 = 3 with a remainder of 1 |
|||
| 1 | 3 | ||
| 3 | 4 | 0 | 5 |
| – | 3 | ||
| 1 | 0 | ||
|
STEP 6: MULTIPLY 3 · 3 = 9 |
|||
| 1 | 3 | ||
| 3 | 4 | 0 | 5 |
| – | 3 | ||
| 1 | 0 | ||
| 9 | |||
|
STEP 7: SUBTRACT 10 - 9 = 1 |
|||
| 1 | 3 | ||
| 3 | 4 | 0 | 5 |
| – | 3 | ||
| 1 | 0 | ||
| – | 9 | ||
| 1 | |||
| STEP 8: BRING DOWN | |||
| 1 | 3 | ||
| 3 | 4 | 0 | 5 |
| – | 3 | ||
| 1 | 0 | ||
| – | 9 | ||
| 1 | 5 | ||
|
STEP 9: DIVIDE 15 : 3 = 5 with a remainder of 0 |
|||
| 1 | 3 | 5 | |
| 3 | 4 | 0 | 5 |
| – | 3 | ||
| 1 | 0 | ||
| – | 9 | ||
| 1 | 5 | ||
|
STEP 10: MULTIPLY 5 · 3 = 15 |
|||
| 1 | 3 | 5 | |
| 3 | 4 | 0 | 5 |
| – | 3 | ||
| 1 | 0 | ||
| – | 9 | ||
| 1 | 5 | ||
| 1 | 5 | ||
|
STEP 11: SUBTRACT 15 - 15 = 0 |
|||
| 1 | 3 | 5 | |
| 3 | 4 | 0 | 5 |
| – | 3 | ||
| 1 | 0 | ||
| – | 9 | ||
| 1 | 5 | ||
| – | 1 | 5 | |
| 0 | |||
|
STEP 11: SUBTRACT 15 - 15 = 0 |
|||
| 1 | 3 | 5 | |
| 3 | 4 | 0 | 5 |
| – | 3 | ||
| 1 | 0 | ||
| – | 9 | ||
| 1 | 5 | ||
| – | 1 | 5 | |
| 0 | |||
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