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Question
What is the quotient and remainder when $ 746 $ is divided by $ 43 $ ?
Answer
The quotient is 17 and the remainder is 15.
Explanation
|
Division Table
|
| | | 0 | 1 | 7 |
| 4 | 3 | 7 | 4 | 6 |
| | – | 0 | | |
| | | 7 | 4 | |
| | – | 4 | 3 | |
| | | 3 | 1 | 6 |
| | – | 3 | 0 | 1 |
| | | | 1 | 5 |
STEP 0: set up a division table
|
| | | | | |
| 4 | 3 | 7 | 4 | 6 |
STEP 1: DIVIDE 7 : 43 = 0 with a remainder of 7
|
| | | 0 | | |
| 4 | 3 | 7 | 4 | 6 |
STEP 2: MULTIPLY 0 · 43 = 0
|
| | | 0 | | |
| 4 | 3 | 7 | 4 | 6 |
| | | 0 | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | | 0 | | |
| 4 | 3 | 7 | 4 | 6 |
| | – | 0 | | |
| | | 7 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 4 | 3 | 7 | 4 | 6 |
| | – | 0 | | |
| | | 7 | 4 | |
STEP 5: DIVIDE 74 : 43 = 1 with a remainder of 31
|
| | | 0 | 1 | |
| 4 | 3 | 7 | 4 | 6 |
| | – | 0 | | |
| | | 7 | 4 | |
STEP 6: MULTIPLY 1 · 43 = 43
|
| | | 0 | 1 | |
| 4 | 3 | 7 | 4 | 6 |
| | – | 0 | | |
| | | 7 | 4 | |
| | | 4 | 3 | |
STEP 7: SUBTRACT 74 - 43 = 31
|
| | | 0 | 1 | |
| 4 | 3 | 7 | 4 | 6 |
| | – | 0 | | |
| | | 7 | 4 | |
| | – | 4 | 3 | |
| | | 3 | 1 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | |
| 4 | 3 | 7 | 4 | 6 |
| | – | 0 | | |
| | | 7 | 4 | |
| | – | 4 | 3 | |
| | | 3 | 1 | 6 |
STEP 9: DIVIDE 316 : 43 = 7 with a remainder of 15
|
| | | 0 | 1 | 7 |
| 4 | 3 | 7 | 4 | 6 |
| | – | 0 | | |
| | | 7 | 4 | |
| | – | 4 | 3 | |
| | | 3 | 1 | 6 |
STEP 10: MULTIPLY 7 · 43 = 301
|
| | | 0 | 1 | 7 |
| 4 | 3 | 7 | 4 | 6 |
| | – | 0 | | |
| | | 7 | 4 | |
| | – | 4 | 3 | |
| | | 3 | 1 | 6 |
| | | 3 | 0 | 1 |
STEP 11: SUBTRACT 316 - 301 = 15
|
| | | 0 | 1 | 7 |
| 4 | 3 | 7 | 4 | 6 |
| | – | 0 | | |
| | | 7 | 4 | |
| | – | 4 | 3 | |
| | | 3 | 1 | 6 |
| | – | 3 | 0 | 1 |
| | | | 1 | 5 |
STEP 11: SUBTRACT 316 - 301 = 15
|
| | | 0 | 1 | 7 |
| 4 | 3 | 7 | 4 | 6 |
| | – | 0 | | |
| | | 7 | 4 | |
| | – | 4 | 3 | |
| | | 3 | 1 | 6 |
| | – | 3 | 0 | 1 |
| | | | 1 | 5 |
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