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What is the quotient and remainder when $ 3457 $ is divided by $ 4 $ ?
Answer
The quotient is 864 and the remainder is 1.
Explanation
Division Table
|
| 0 | 8 | 6 | 4 |
4 | 3 | 4 | 5 | 7 |
– | 0 | | | |
| 3 | 4 | | |
– | 3 | 2 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | 7 |
| | – | 1 | 6 |
| | | | 1 |
STEP 0: set up a division table
|
| | | | |
4 | 3 | 4 | 5 | 7 |
STEP 1: DIVIDE 3 : 4 = 0 with a remainder of 3
|
| 0 | | | |
4 | 3 | 4 | 5 | 7 |
STEP 2: MULTIPLY 0 · 4 = 0
|
| 0 | | | |
4 | 3 | 4 | 5 | 7 |
| 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| 0 | | | |
4 | 3 | 4 | 5 | 7 |
– | 0 | | | |
| 3 | | | |
STEP 4: BRING DOWN
|
| 0 | | | |
4 | 3 | 4 | 5 | 7 |
– | 0 | | | |
| 3 | 4 | | |
STEP 5: DIVIDE 34 : 4 = 8 with a remainder of 2
|
| 0 | 8 | | |
4 | 3 | 4 | 5 | 7 |
– | 0 | | | |
| 3 | 4 | | |
STEP 6: MULTIPLY 8 · 4 = 32
|
| 0 | 8 | | |
4 | 3 | 4 | 5 | 7 |
– | 0 | | | |
| 3 | 4 | | |
| 3 | 2 | | |
STEP 7: SUBTRACT 34 - 32 = 2
|
| 0 | 8 | | |
4 | 3 | 4 | 5 | 7 |
– | 0 | | | |
| 3 | 4 | | |
– | 3 | 2 | | |
| | 2 | | |
STEP 8: BRING DOWN
|
| 0 | 8 | | |
4 | 3 | 4 | 5 | 7 |
– | 0 | | | |
| 3 | 4 | | |
– | 3 | 2 | | |
| | 2 | 5 | |
STEP 9: DIVIDE 25 : 4 = 6 with a remainder of 1
|
| 0 | 8 | 6 | |
4 | 3 | 4 | 5 | 7 |
– | 0 | | | |
| 3 | 4 | | |
– | 3 | 2 | | |
| | 2 | 5 | |
STEP 10: MULTIPLY 6 · 4 = 24
|
| 0 | 8 | 6 | |
4 | 3 | 4 | 5 | 7 |
– | 0 | | | |
| 3 | 4 | | |
– | 3 | 2 | | |
| | 2 | 5 | |
| | 2 | 4 | |
STEP 11: SUBTRACT 25 - 24 = 1
|
| 0 | 8 | 6 | |
4 | 3 | 4 | 5 | 7 |
– | 0 | | | |
| 3 | 4 | | |
– | 3 | 2 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | |
STEP 12: BRING DOWN
|
| 0 | 8 | 6 | |
4 | 3 | 4 | 5 | 7 |
– | 0 | | | |
| 3 | 4 | | |
– | 3 | 2 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | 7 |
STEP 13: DIVIDE 17 : 4 = 4 with a remainder of 1
|
| 0 | 8 | 6 | 4 |
4 | 3 | 4 | 5 | 7 |
– | 0 | | | |
| 3 | 4 | | |
– | 3 | 2 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | 7 |
STEP 14: MULTIPLY 4 · 4 = 16
|
| 0 | 8 | 6 | 4 |
4 | 3 | 4 | 5 | 7 |
– | 0 | | | |
| 3 | 4 | | |
– | 3 | 2 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | 7 |
| | | 1 | 6 |
STEP 15: SUBTRACT 17 - 16 = 1
|
| 0 | 8 | 6 | 4 |
4 | 3 | 4 | 5 | 7 |
– | 0 | | | |
| 3 | 4 | | |
– | 3 | 2 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | 7 |
| | – | 1 | 6 |
| | | | 1 |
STEP 15: SUBTRACT 17 - 16 = 1
|
| 0 | 8 | 6 | 4 |
4 | 3 | 4 | 5 | 7 |
– | 0 | | | |
| 3 | 4 | | |
– | 3 | 2 | | |
| | 2 | 5 | |
| – | 2 | 4 | |
| | | 1 | 7 |
| | – | 1 | 6 |
| | | | 1 |
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