Question
What is the quotient and remainder when $ 337 $ is divided by $ 4 $ ?
Answer
The quotient is 84 and the remainder is 1.
Explanation
| Division Table | |||
| 0 | 8 | 4 | |
| 4 | 3 | 3 | 7 |
| – | 0 | ||
| 3 | 3 | ||
| – | 3 | 2 | |
| 1 | 7 | ||
| – | 1 | 6 | |
| 1 | |||
|
STEP 0: set up a division table |
|||
| 4 | 3 | 3 | 7 |
|
STEP 1: DIVIDE 3 : 4 = 0 with a remainder of 3 |
|||
| 0 | |||
| 4 | 3 | 3 | 7 |
|
STEP 2: MULTIPLY 0 · 4 = 0 |
|||
| 0 | |||
| 4 | 3 | 3 | 7 |
| 0 | |||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
|||
| 0 | |||
| 4 | 3 | 3 | 7 |
| – | 0 | ||
| 3 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 4 | 3 | 3 | 7 |
| – | 0 | ||
| 3 | 3 | ||
|
STEP 5: DIVIDE 33 : 4 = 8 with a remainder of 1 |
|||
| 0 | 8 | ||
| 4 | 3 | 3 | 7 |
| – | 0 | ||
| 3 | 3 | ||
|
STEP 6: MULTIPLY 8 · 4 = 32 |
|||
| 0 | 8 | ||
| 4 | 3 | 3 | 7 |
| – | 0 | ||
| 3 | 3 | ||
| 3 | 2 | ||
|
STEP 7: SUBTRACT 33 - 32 = 1 |
|||
| 0 | 8 | ||
| 4 | 3 | 3 | 7 |
| – | 0 | ||
| 3 | 3 | ||
| – | 3 | 2 | |
| 1 | |||
| STEP 8: BRING DOWN | |||
| 0 | 8 | ||
| 4 | 3 | 3 | 7 |
| – | 0 | ||
| 3 | 3 | ||
| – | 3 | 2 | |
| 1 | 7 | ||
|
STEP 9: DIVIDE 17 : 4 = 4 with a remainder of 1 |
|||
| 0 | 8 | 4 | |
| 4 | 3 | 3 | 7 |
| – | 0 | ||
| 3 | 3 | ||
| – | 3 | 2 | |
| 1 | 7 | ||
|
STEP 10: MULTIPLY 4 · 4 = 16 |
|||
| 0 | 8 | 4 | |
| 4 | 3 | 3 | 7 |
| – | 0 | ||
| 3 | 3 | ||
| – | 3 | 2 | |
| 1 | 7 | ||
| 1 | 6 | ||
|
STEP 11: SUBTRACT 17 - 16 = 1 |
|||
| 0 | 8 | 4 | |
| 4 | 3 | 3 | 7 |
| – | 0 | ||
| 3 | 3 | ||
| – | 3 | 2 | |
| 1 | 7 | ||
| – | 1 | 6 | |
| 1 | |||
|
STEP 11: SUBTRACT 17 - 16 = 1 |
|||
| 0 | 8 | 4 | |
| 4 | 3 | 3 | 7 |
| – | 0 | ||
| 3 | 3 | ||
| – | 3 | 2 | |
| 1 | 7 | ||
| – | 1 | 6 | |
| 1 | |||
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