Question
What is the quotient and remainder when $ 564 $ is divided by $ 4 $ ?
Answer
The quotient is 141 and the remainder is 0.
Explanation
| Division Table | |||
| 1 | 4 | 1 | |
| 4 | 5 | 6 | 4 |
| – | 4 | ||
| 1 | 6 | ||
| – | 1 | 6 | |
| 4 | |||
| – | 4 | ||
| 0 | |||
|
STEP 0: set up a division table |
|||
| 4 | 5 | 6 | 4 |
|
STEP 1: DIVIDE 5 : 4 = 1 with a remainder of 1 |
|||
| 1 | |||
| 4 | 5 | 6 | 4 |
|
STEP 2: MULTIPLY 1 · 4 = 4 |
|||
| 1 | |||
| 4 | 5 | 6 | 4 |
| 4 | |||
|
STEP 3: SUBTRACT 5 - 4 = 1 |
|||
| 1 | |||
| 4 | 5 | 6 | 4 |
| – | 4 | ||
| 1 | |||
| STEP 4: BRING DOWN | |||
| 1 | |||
| 4 | 5 | 6 | 4 |
| – | 4 | ||
| 1 | 6 | ||
|
STEP 5: DIVIDE 16 : 4 = 4 with a remainder of 0 |
|||
| 1 | 4 | ||
| 4 | 5 | 6 | 4 |
| – | 4 | ||
| 1 | 6 | ||
|
STEP 6: MULTIPLY 4 · 4 = 16 |
|||
| 1 | 4 | ||
| 4 | 5 | 6 | 4 |
| – | 4 | ||
| 1 | 6 | ||
| 1 | 6 | ||
|
STEP 7: SUBTRACT 16 - 16 = 0 |
|||
| 1 | 4 | ||
| 4 | 5 | 6 | 4 |
| – | 4 | ||
| 1 | 6 | ||
| – | 1 | 6 | |
| 0 | |||
| STEP 8: BRING DOWN | |||
| 1 | 4 | ||
| 4 | 5 | 6 | 4 |
| – | 4 | ||
| 1 | 6 | ||
| – | 1 | 6 | |
| 4 | |||
|
STEP 9: DIVIDE 4 : 4 = 1 with a remainder of 0 |
|||
| 1 | 4 | 1 | |
| 4 | 5 | 6 | 4 |
| – | 4 | ||
| 1 | 6 | ||
| – | 1 | 6 | |
| 4 | |||
|
STEP 10: MULTIPLY 1 · 4 = 4 |
|||
| 1 | 4 | 1 | |
| 4 | 5 | 6 | 4 |
| – | 4 | ||
| 1 | 6 | ||
| – | 1 | 6 | |
| 4 | |||
| 4 | |||
|
STEP 11: SUBTRACT 4 - 4 = 0 |
|||
| 1 | 4 | 1 | |
| 4 | 5 | 6 | 4 |
| – | 4 | ||
| 1 | 6 | ||
| – | 1 | 6 | |
| 4 | |||
| – | 4 | ||
| 0 | |||
|
STEP 11: SUBTRACT 4 - 4 = 0 |
|||
| 1 | 4 | 1 | |
| 4 | 5 | 6 | 4 |
| – | 4 | ||
| 1 | 6 | ||
| – | 1 | 6 | |
| 4 | |||
| – | 4 | ||
| 0 | |||
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