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Question
What is the quotient and remainder when $ 6743 $ is divided by $ 4 $ ?
Answer
The quotient is 1685 and the remainder is 3.
Explanation
|
Division Table
|
| | 1 | 6 | 8 | 5 |
| 4 | 6 | 7 | 4 | 3 |
| – | 4 | | | |
| | 2 | 7 | | |
| – | 2 | 4 | | |
| | | 3 | 4 | |
| | – | 3 | 2 | |
| | | | 2 | 3 |
| | | – | 2 | 0 |
| | | | | 3 |
STEP 0: set up a division table
|
| | | | | |
| 4 | 6 | 7 | 4 | 3 |
STEP 1: DIVIDE 6 : 4 = 1 with a remainder of 2
|
| | 1 | | | |
| 4 | 6 | 7 | 4 | 3 |
STEP 2: MULTIPLY 1 · 4 = 4
|
| | 1 | | | |
| 4 | 6 | 7 | 4 | 3 |
| | 4 | | | |
STEP 3: SUBTRACT 6 - 4 = 2
|
| | 1 | | | |
| 4 | 6 | 7 | 4 | 3 |
| – | 4 | | | |
| | 2 | | | |
|
STEP 4: BRING DOWN
|
| | 1 | | | |
| 4 | 6 | 7 | 4 | 3 |
| – | 4 | | | |
| | 2 | 7 | | |
STEP 5: DIVIDE 27 : 4 = 6 with a remainder of 3
|
| | 1 | 6 | | |
| 4 | 6 | 7 | 4 | 3 |
| – | 4 | | | |
| | 2 | 7 | | |
STEP 6: MULTIPLY 6 · 4 = 24
|
| | 1 | 6 | | |
| 4 | 6 | 7 | 4 | 3 |
| – | 4 | | | |
| | 2 | 7 | | |
| | 2 | 4 | | |
STEP 7: SUBTRACT 27 - 24 = 3
|
| | 1 | 6 | | |
| 4 | 6 | 7 | 4 | 3 |
| – | 4 | | | |
| | 2 | 7 | | |
| – | 2 | 4 | | |
| | | 3 | | |
|
STEP 8: BRING DOWN
|
| | 1 | 6 | | |
| 4 | 6 | 7 | 4 | 3 |
| – | 4 | | | |
| | 2 | 7 | | |
| – | 2 | 4 | | |
| | | 3 | 4 | |
STEP 9: DIVIDE 34 : 4 = 8 with a remainder of 2
|
| | 1 | 6 | 8 | |
| 4 | 6 | 7 | 4 | 3 |
| – | 4 | | | |
| | 2 | 7 | | |
| – | 2 | 4 | | |
| | | 3 | 4 | |
STEP 10: MULTIPLY 8 · 4 = 32
|
| | 1 | 6 | 8 | |
| 4 | 6 | 7 | 4 | 3 |
| – | 4 | | | |
| | 2 | 7 | | |
| – | 2 | 4 | | |
| | | 3 | 4 | |
| | | 3 | 2 | |
STEP 11: SUBTRACT 34 - 32 = 2
|
| | 1 | 6 | 8 | |
| 4 | 6 | 7 | 4 | 3 |
| – | 4 | | | |
| | 2 | 7 | | |
| – | 2 | 4 | | |
| | | 3 | 4 | |
| | – | 3 | 2 | |
| | | | 2 | |
|
STEP 12: BRING DOWN
|
| | 1 | 6 | 8 | |
| 4 | 6 | 7 | 4 | 3 |
| – | 4 | | | |
| | 2 | 7 | | |
| – | 2 | 4 | | |
| | | 3 | 4 | |
| | – | 3 | 2 | |
| | | | 2 | 3 |
STEP 13: DIVIDE 23 : 4 = 5 with a remainder of 3
|
| | 1 | 6 | 8 | 5 |
| 4 | 6 | 7 | 4 | 3 |
| – | 4 | | | |
| | 2 | 7 | | |
| – | 2 | 4 | | |
| | | 3 | 4 | |
| | – | 3 | 2 | |
| | | | 2 | 3 |
STEP 14: MULTIPLY 5 · 4 = 20
|
| | 1 | 6 | 8 | 5 |
| 4 | 6 | 7 | 4 | 3 |
| – | 4 | | | |
| | 2 | 7 | | |
| – | 2 | 4 | | |
| | | 3 | 4 | |
| | – | 3 | 2 | |
| | | | 2 | 3 |
| | | | 2 | 0 |
STEP 15: SUBTRACT 23 - 20 = 3
|
| | 1 | 6 | 8 | 5 |
| 4 | 6 | 7 | 4 | 3 |
| – | 4 | | | |
| | 2 | 7 | | |
| – | 2 | 4 | | |
| | | 3 | 4 | |
| | – | 3 | 2 | |
| | | | 2 | 3 |
| | | – | 2 | 0 |
| | | | | 3 |
STEP 15: SUBTRACT 23 - 20 = 3
|
| | 1 | 6 | 8 | 5 |
| 4 | 6 | 7 | 4 | 3 |
| – | 4 | | | |
| | 2 | 7 | | |
| – | 2 | 4 | | |
| | | 3 | 4 | |
| | – | 3 | 2 | |
| | | | 2 | 3 |
| | | – | 2 | 0 |
| | | | | 3 |
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