Question
What is the quotient and remainder when $ 37 $ is divided by $ 4 $ ?
Answer
The quotient is 9 and the remainder is 1.
Explanation
| Division Table | ||
| 0 | 9 | |
| 4 | 3 | 7 |
| – | 0 | |
| 3 | 7 | |
| – | 3 | 6 |
| 1 | ||
|
STEP 0: set up a division table |
||
| 4 | 3 | 7 |
|
STEP 1: DIVIDE 3 : 4 = 0 with a remainder of 3 |
||
| 0 | ||
| 4 | 3 | 7 |
|
STEP 2: MULTIPLY 0 · 4 = 0 |
||
| 0 | ||
| 4 | 3 | 7 |
| 0 | ||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
||
| 0 | ||
| 4 | 3 | 7 |
| – | 0 | |
| 3 | ||
| STEP 4: BRING DOWN | ||
| 0 | ||
| 4 | 3 | 7 |
| – | 0 | |
| 3 | 7 | |
|
STEP 5: DIVIDE 37 : 4 = 9 with a remainder of 1 |
||
| 0 | 9 | |
| 4 | 3 | 7 |
| – | 0 | |
| 3 | 7 | |
|
STEP 6: MULTIPLY 9 · 4 = 36 |
||
| 0 | 9 | |
| 4 | 3 | 7 |
| – | 0 | |
| 3 | 7 | |
| 3 | 6 | |
|
STEP 7: SUBTRACT 37 - 36 = 1 |
||
| 0 | 9 | |
| 4 | 3 | 7 |
| – | 0 | |
| 3 | 7 | |
| – | 3 | 6 |
| 1 | ||
|
STEP 7: SUBTRACT 37 - 36 = 1 |
||
| 0 | 9 | |
| 4 | 3 | 7 |
| – | 0 | |
| 3 | 7 | |
| – | 3 | 6 |
| 1 | ||
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