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Question
What is the quotient and remainder when $ 705 $ is divided by $ 37 $ ?
Answer
The quotient is 19 and the remainder is 2.
Explanation
|
Division Table
|
| | | 0 | 1 | 9 |
| 3 | 7 | 7 | 0 | 5 |
| | – | 0 | | |
| | | 7 | 0 | |
| | – | 3 | 7 | |
| | | 3 | 3 | 5 |
| | – | 3 | 3 | 3 |
| | | | | 2 |
STEP 0: set up a division table
|
| | | | | |
| 3 | 7 | 7 | 0 | 5 |
STEP 1: DIVIDE 7 : 37 = 0 with a remainder of 7
|
| | | 0 | | |
| 3 | 7 | 7 | 0 | 5 |
STEP 2: MULTIPLY 0 · 37 = 0
|
| | | 0 | | |
| 3 | 7 | 7 | 0 | 5 |
| | | 0 | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | | 0 | | |
| 3 | 7 | 7 | 0 | 5 |
| | – | 0 | | |
| | | 7 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 3 | 7 | 7 | 0 | 5 |
| | – | 0 | | |
| | | 7 | 0 | |
STEP 5: DIVIDE 70 : 37 = 1 with a remainder of 33
|
| | | 0 | 1 | |
| 3 | 7 | 7 | 0 | 5 |
| | – | 0 | | |
| | | 7 | 0 | |
STEP 6: MULTIPLY 1 · 37 = 37
|
| | | 0 | 1 | |
| 3 | 7 | 7 | 0 | 5 |
| | – | 0 | | |
| | | 7 | 0 | |
| | | 3 | 7 | |
STEP 7: SUBTRACT 70 - 37 = 33
|
| | | 0 | 1 | |
| 3 | 7 | 7 | 0 | 5 |
| | – | 0 | | |
| | | 7 | 0 | |
| | – | 3 | 7 | |
| | | 3 | 3 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | |
| 3 | 7 | 7 | 0 | 5 |
| | – | 0 | | |
| | | 7 | 0 | |
| | – | 3 | 7 | |
| | | 3 | 3 | 5 |
STEP 9: DIVIDE 335 : 37 = 9 with a remainder of 2
|
| | | 0 | 1 | 9 |
| 3 | 7 | 7 | 0 | 5 |
| | – | 0 | | |
| | | 7 | 0 | |
| | – | 3 | 7 | |
| | | 3 | 3 | 5 |
STEP 10: MULTIPLY 9 · 37 = 333
|
| | | 0 | 1 | 9 |
| 3 | 7 | 7 | 0 | 5 |
| | – | 0 | | |
| | | 7 | 0 | |
| | – | 3 | 7 | |
| | | 3 | 3 | 5 |
| | | 3 | 3 | 3 |
STEP 11: SUBTRACT 335 - 333 = 2
|
| | | 0 | 1 | 9 |
| 3 | 7 | 7 | 0 | 5 |
| | – | 0 | | |
| | | 7 | 0 | |
| | – | 3 | 7 | |
| | | 3 | 3 | 5 |
| | – | 3 | 3 | 3 |
| | | | | 2 |
STEP 11: SUBTRACT 335 - 333 = 2
|
| | | 0 | 1 | 9 |
| 3 | 7 | 7 | 0 | 5 |
| | – | 0 | | |
| | | 7 | 0 | |
| | – | 3 | 7 | |
| | | 3 | 3 | 5 |
| | – | 3 | 3 | 3 |
| | | | | 2 |
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