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Question
What is the quotient and remainder when $ 7431 $ is divided by $ 4 $ ?
Answer
The quotient is 1857 and the remainder is 3.
Explanation
|
Division Table
|
| | 1 | 8 | 5 | 7 |
| 4 | 7 | 4 | 3 | 1 |
| – | 4 | | | |
| | 3 | 4 | | |
| – | 3 | 2 | | |
| | | 2 | 3 | |
| | – | 2 | 0 | |
| | | | 3 | 1 |
| | | – | 2 | 8 |
| | | | | 3 |
STEP 0: set up a division table
|
| | | | | |
| 4 | 7 | 4 | 3 | 1 |
STEP 1: DIVIDE 7 : 4 = 1 with a remainder of 3
|
| | 1 | | | |
| 4 | 7 | 4 | 3 | 1 |
STEP 2: MULTIPLY 1 · 4 = 4
|
| | 1 | | | |
| 4 | 7 | 4 | 3 | 1 |
| | 4 | | | |
STEP 3: SUBTRACT 7 - 4 = 3
|
| | 1 | | | |
| 4 | 7 | 4 | 3 | 1 |
| – | 4 | | | |
| | 3 | | | |
|
STEP 4: BRING DOWN
|
| | 1 | | | |
| 4 | 7 | 4 | 3 | 1 |
| – | 4 | | | |
| | 3 | 4 | | |
STEP 5: DIVIDE 34 : 4 = 8 with a remainder of 2
|
| | 1 | 8 | | |
| 4 | 7 | 4 | 3 | 1 |
| – | 4 | | | |
| | 3 | 4 | | |
STEP 6: MULTIPLY 8 · 4 = 32
|
| | 1 | 8 | | |
| 4 | 7 | 4 | 3 | 1 |
| – | 4 | | | |
| | 3 | 4 | | |
| | 3 | 2 | | |
STEP 7: SUBTRACT 34 - 32 = 2
|
| | 1 | 8 | | |
| 4 | 7 | 4 | 3 | 1 |
| – | 4 | | | |
| | 3 | 4 | | |
| – | 3 | 2 | | |
| | | 2 | | |
|
STEP 8: BRING DOWN
|
| | 1 | 8 | | |
| 4 | 7 | 4 | 3 | 1 |
| – | 4 | | | |
| | 3 | 4 | | |
| – | 3 | 2 | | |
| | | 2 | 3 | |
STEP 9: DIVIDE 23 : 4 = 5 with a remainder of 3
|
| | 1 | 8 | 5 | |
| 4 | 7 | 4 | 3 | 1 |
| – | 4 | | | |
| | 3 | 4 | | |
| – | 3 | 2 | | |
| | | 2 | 3 | |
STEP 10: MULTIPLY 5 · 4 = 20
|
| | 1 | 8 | 5 | |
| 4 | 7 | 4 | 3 | 1 |
| – | 4 | | | |
| | 3 | 4 | | |
| – | 3 | 2 | | |
| | | 2 | 3 | |
| | | 2 | 0 | |
STEP 11: SUBTRACT 23 - 20 = 3
|
| | 1 | 8 | 5 | |
| 4 | 7 | 4 | 3 | 1 |
| – | 4 | | | |
| | 3 | 4 | | |
| – | 3 | 2 | | |
| | | 2 | 3 | |
| | – | 2 | 0 | |
| | | | 3 | |
|
STEP 12: BRING DOWN
|
| | 1 | 8 | 5 | |
| 4 | 7 | 4 | 3 | 1 |
| – | 4 | | | |
| | 3 | 4 | | |
| – | 3 | 2 | | |
| | | 2 | 3 | |
| | – | 2 | 0 | |
| | | | 3 | 1 |
STEP 13: DIVIDE 31 : 4 = 7 with a remainder of 3
|
| | 1 | 8 | 5 | 7 |
| 4 | 7 | 4 | 3 | 1 |
| – | 4 | | | |
| | 3 | 4 | | |
| – | 3 | 2 | | |
| | | 2 | 3 | |
| | – | 2 | 0 | |
| | | | 3 | 1 |
STEP 14: MULTIPLY 7 · 4 = 28
|
| | 1 | 8 | 5 | 7 |
| 4 | 7 | 4 | 3 | 1 |
| – | 4 | | | |
| | 3 | 4 | | |
| – | 3 | 2 | | |
| | | 2 | 3 | |
| | – | 2 | 0 | |
| | | | 3 | 1 |
| | | | 2 | 8 |
STEP 15: SUBTRACT 31 - 28 = 3
|
| | 1 | 8 | 5 | 7 |
| 4 | 7 | 4 | 3 | 1 |
| – | 4 | | | |
| | 3 | 4 | | |
| – | 3 | 2 | | |
| | | 2 | 3 | |
| | – | 2 | 0 | |
| | | | 3 | 1 |
| | | – | 2 | 8 |
| | | | | 3 |
STEP 15: SUBTRACT 31 - 28 = 3
|
| | 1 | 8 | 5 | 7 |
| 4 | 7 | 4 | 3 | 1 |
| – | 4 | | | |
| | 3 | 4 | | |
| – | 3 | 2 | | |
| | | 2 | 3 | |
| | – | 2 | 0 | |
| | | | 3 | 1 |
| | | – | 2 | 8 |
| | | | | 3 |
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