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What is the quotient and remainder when $ 645 $ is divided by $ 43 $ ?
Answer
The quotient is 15 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 1 | 5 |
4 | 3 | 6 | 4 | 5 |
| – | 0 | | |
| | 6 | 4 | |
| – | 4 | 3 | |
| | 2 | 1 | 5 |
| – | 2 | 1 | 5 |
| | | | 0 |
STEP 0: set up a division table
|
| | | | |
4 | 3 | 6 | 4 | 5 |
STEP 1: DIVIDE 6 : 43 = 0 with a remainder of 6
|
| | 0 | | |
4 | 3 | 6 | 4 | 5 |
STEP 2: MULTIPLY 0 · 43 = 0
|
| | 0 | | |
4 | 3 | 6 | 4 | 5 |
| | 0 | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | 0 | | |
4 | 3 | 6 | 4 | 5 |
| – | 0 | | |
| | 6 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
4 | 3 | 6 | 4 | 5 |
| – | 0 | | |
| | 6 | 4 | |
STEP 5: DIVIDE 64 : 43 = 1 with a remainder of 21
|
| | 0 | 1 | |
4 | 3 | 6 | 4 | 5 |
| – | 0 | | |
| | 6 | 4 | |
STEP 6: MULTIPLY 1 · 43 = 43
|
| | 0 | 1 | |
4 | 3 | 6 | 4 | 5 |
| – | 0 | | |
| | 6 | 4 | |
| | 4 | 3 | |
STEP 7: SUBTRACT 64 - 43 = 21
|
| | 0 | 1 | |
4 | 3 | 6 | 4 | 5 |
| – | 0 | | |
| | 6 | 4 | |
| – | 4 | 3 | |
| | 2 | 1 | |
STEP 8: BRING DOWN
|
| | 0 | 1 | |
4 | 3 | 6 | 4 | 5 |
| – | 0 | | |
| | 6 | 4 | |
| – | 4 | 3 | |
| | 2 | 1 | 5 |
STEP 9: DIVIDE 215 : 43 = 5 with a remainder of 0
|
| | 0 | 1 | 5 |
4 | 3 | 6 | 4 | 5 |
| – | 0 | | |
| | 6 | 4 | |
| – | 4 | 3 | |
| | 2 | 1 | 5 |
STEP 10: MULTIPLY 5 · 43 = 215
|
| | 0 | 1 | 5 |
4 | 3 | 6 | 4 | 5 |
| – | 0 | | |
| | 6 | 4 | |
| – | 4 | 3 | |
| | 2 | 1 | 5 |
| | 2 | 1 | 5 |
STEP 11: SUBTRACT 215 - 215 = 0
|
| | 0 | 1 | 5 |
4 | 3 | 6 | 4 | 5 |
| – | 0 | | |
| | 6 | 4 | |
| – | 4 | 3 | |
| | 2 | 1 | 5 |
| – | 2 | 1 | 5 |
| | | | 0 |
STEP 11: SUBTRACT 215 - 215 = 0
|
| | 0 | 1 | 5 |
4 | 3 | 6 | 4 | 5 |
| – | 0 | | |
| | 6 | 4 | |
| – | 4 | 3 | |
| | 2 | 1 | 5 |
| – | 2 | 1 | 5 |
| | | | 0 |
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