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What is the quotient and remainder when $ 537 $ is divided by $ 4 $ ?
Answer
The quotient is 134 and the remainder is 1.
Explanation
Division Table
|
| 1 | 3 | 4 |
4 | 5 | 3 | 7 |
– | 4 | | |
| 1 | 3 | |
– | 1 | 2 | |
| | 1 | 7 |
| – | 1 | 6 |
| | | 1 |
STEP 0: set up a division table
|
| | | |
4 | 5 | 3 | 7 |
STEP 1: DIVIDE 5 : 4 = 1 with a remainder of 1
|
| 1 | | |
4 | 5 | 3 | 7 |
STEP 2: MULTIPLY 1 · 4 = 4
|
| 1 | | |
4 | 5 | 3 | 7 |
| 4 | | |
STEP 3: SUBTRACT 5 - 4 = 1
|
| 1 | | |
4 | 5 | 3 | 7 |
– | 4 | | |
| 1 | | |
STEP 4: BRING DOWN
|
| 1 | | |
4 | 5 | 3 | 7 |
– | 4 | | |
| 1 | 3 | |
STEP 5: DIVIDE 13 : 4 = 3 with a remainder of 1
|
| 1 | 3 | |
4 | 5 | 3 | 7 |
– | 4 | | |
| 1 | 3 | |
STEP 6: MULTIPLY 3 · 4 = 12
|
| 1 | 3 | |
4 | 5 | 3 | 7 |
– | 4 | | |
| 1 | 3 | |
| 1 | 2 | |
STEP 7: SUBTRACT 13 - 12 = 1
|
| 1 | 3 | |
4 | 5 | 3 | 7 |
– | 4 | | |
| 1 | 3 | |
– | 1 | 2 | |
| | 1 | |
STEP 8: BRING DOWN
|
| 1 | 3 | |
4 | 5 | 3 | 7 |
– | 4 | | |
| 1 | 3 | |
– | 1 | 2 | |
| | 1 | 7 |
STEP 9: DIVIDE 17 : 4 = 4 with a remainder of 1
|
| 1 | 3 | 4 |
4 | 5 | 3 | 7 |
– | 4 | | |
| 1 | 3 | |
– | 1 | 2 | |
| | 1 | 7 |
STEP 10: MULTIPLY 4 · 4 = 16
|
| 1 | 3 | 4 |
4 | 5 | 3 | 7 |
– | 4 | | |
| 1 | 3 | |
– | 1 | 2 | |
| | 1 | 7 |
| | 1 | 6 |
STEP 11: SUBTRACT 17 - 16 = 1
|
| 1 | 3 | 4 |
4 | 5 | 3 | 7 |
– | 4 | | |
| 1 | 3 | |
– | 1 | 2 | |
| | 1 | 7 |
| – | 1 | 6 |
| | | 1 |
STEP 11: SUBTRACT 17 - 16 = 1
|
| 1 | 3 | 4 |
4 | 5 | 3 | 7 |
– | 4 | | |
| 1 | 3 | |
– | 1 | 2 | |
| | 1 | 7 |
| – | 1 | 6 |
| | | 1 |
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