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What is the quotient and remainder when $ 718 $ is divided by $ 40 $ ?
Answer
The quotient is 17 and the remainder is 38.
Explanation
Division Table
|
| | 0 | 1 | 7 |
4 | 0 | 7 | 1 | 8 |
| – | 0 | | |
| | 7 | 1 | |
| – | 4 | 0 | |
| | 3 | 1 | 8 |
| – | 2 | 8 | 0 |
| | | 3 | 8 |
STEP 0: set up a division table
|
| | | | |
4 | 0 | 7 | 1 | 8 |
STEP 1: DIVIDE 7 : 40 = 0 with a remainder of 7
|
| | 0 | | |
4 | 0 | 7 | 1 | 8 |
STEP 2: MULTIPLY 0 · 40 = 0
|
| | 0 | | |
4 | 0 | 7 | 1 | 8 |
| | 0 | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | 0 | | |
4 | 0 | 7 | 1 | 8 |
| – | 0 | | |
| | 7 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
4 | 0 | 7 | 1 | 8 |
| – | 0 | | |
| | 7 | 1 | |
STEP 5: DIVIDE 71 : 40 = 1 with a remainder of 31
|
| | 0 | 1 | |
4 | 0 | 7 | 1 | 8 |
| – | 0 | | |
| | 7 | 1 | |
STEP 6: MULTIPLY 1 · 40 = 40
|
| | 0 | 1 | |
4 | 0 | 7 | 1 | 8 |
| – | 0 | | |
| | 7 | 1 | |
| | 4 | 0 | |
STEP 7: SUBTRACT 71 - 40 = 31
|
| | 0 | 1 | |
4 | 0 | 7 | 1 | 8 |
| – | 0 | | |
| | 7 | 1 | |
| – | 4 | 0 | |
| | 3 | 1 | |
STEP 8: BRING DOWN
|
| | 0 | 1 | |
4 | 0 | 7 | 1 | 8 |
| – | 0 | | |
| | 7 | 1 | |
| – | 4 | 0 | |
| | 3 | 1 | 8 |
STEP 9: DIVIDE 318 : 40 = 7 with a remainder of 38
|
| | 0 | 1 | 7 |
4 | 0 | 7 | 1 | 8 |
| – | 0 | | |
| | 7 | 1 | |
| – | 4 | 0 | |
| | 3 | 1 | 8 |
STEP 10: MULTIPLY 7 · 40 = 280
|
| | 0 | 1 | 7 |
4 | 0 | 7 | 1 | 8 |
| – | 0 | | |
| | 7 | 1 | |
| – | 4 | 0 | |
| | 3 | 1 | 8 |
| | 2 | 8 | 0 |
STEP 11: SUBTRACT 318 - 280 = 38
|
| | 0 | 1 | 7 |
4 | 0 | 7 | 1 | 8 |
| – | 0 | | |
| | 7 | 1 | |
| – | 4 | 0 | |
| | 3 | 1 | 8 |
| – | 2 | 8 | 0 |
| | | 3 | 8 |
STEP 11: SUBTRACT 318 - 280 = 38
|
| | 0 | 1 | 7 |
4 | 0 | 7 | 1 | 8 |
| – | 0 | | |
| | 7 | 1 | |
| – | 4 | 0 | |
| | 3 | 1 | 8 |
| – | 2 | 8 | 0 |
| | | 3 | 8 |
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