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Question
What is the quotient and remainder when $ 762 $ is divided by $ 384 $ ?
Answer
The quotient is 1 and the remainder is 378.
Explanation
|
Division Table
|
| | | | 0 | 0 | 1 |
| 3 | 8 | 4 | 7 | 6 | 2 |
| | | – | 0 | | |
| | | | 7 | 6 | |
| | | | – | 0 | |
| | | | 7 | 6 | 2 |
| | | – | 3 | 8 | 4 |
| | | | 3 | 7 | 8 |
STEP 0: set up a division table
|
| | | | | | |
| 3 | 8 | 4 | 7 | 6 | 2 |
STEP 1: DIVIDE 7 : 384 = 0 with a remainder of 7
|
| | | | 0 | | |
| 3 | 8 | 4 | 7 | 6 | 2 |
STEP 2: MULTIPLY 0 · 384 = 0
|
| | | | 0 | | |
| 3 | 8 | 4 | 7 | 6 | 2 |
| | | | 0 | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | | | 0 | | |
| 3 | 8 | 4 | 7 | 6 | 2 |
| | | – | 0 | | |
| | | | 7 | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | |
| 3 | 8 | 4 | 7 | 6 | 2 |
| | | – | 0 | | |
| | | | 7 | 6 | |
STEP 5: DIVIDE 76 : 384 = 0 with a remainder of 76
|
| | | | 0 | 0 | |
| 3 | 8 | 4 | 7 | 6 | 2 |
| | | – | 0 | | |
| | | | 7 | 6 | |
STEP 6: MULTIPLY 0 · 384 = 0
|
| | | | 0 | 0 | |
| 3 | 8 | 4 | 7 | 6 | 2 |
| | | – | 0 | | |
| | | | 7 | 6 | |
| | | | | 0 | |
STEP 7: SUBTRACT 76 - 0 = 76
|
| | | | 0 | 0 | |
| 3 | 8 | 4 | 7 | 6 | 2 |
| | | – | 0 | | |
| | | | 7 | 6 | |
| | | | – | 0 | |
| | | | 7 | 6 | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | |
| 3 | 8 | 4 | 7 | 6 | 2 |
| | | – | 0 | | |
| | | | 7 | 6 | |
| | | | – | 0 | |
| | | | 7 | 6 | 2 |
STEP 9: DIVIDE 762 : 384 = 1 with a remainder of 378
|
| | | | 0 | 0 | 1 |
| 3 | 8 | 4 | 7 | 6 | 2 |
| | | – | 0 | | |
| | | | 7 | 6 | |
| | | | – | 0 | |
| | | | 7 | 6 | 2 |
STEP 10: MULTIPLY 1 · 384 = 384
|
| | | | 0 | 0 | 1 |
| 3 | 8 | 4 | 7 | 6 | 2 |
| | | – | 0 | | |
| | | | 7 | 6 | |
| | | | – | 0 | |
| | | | 7 | 6 | 2 |
| | | | 3 | 8 | 4 |
STEP 11: SUBTRACT 762 - 384 = 378
|
| | | | 0 | 0 | 1 |
| 3 | 8 | 4 | 7 | 6 | 2 |
| | | – | 0 | | |
| | | | 7 | 6 | |
| | | | – | 0 | |
| | | | 7 | 6 | 2 |
| | | – | 3 | 8 | 4 |
| | | | 3 | 7 | 8 |
STEP 11: SUBTRACT 762 - 384 = 378
|
| | | | 0 | 0 | 1 |
| 3 | 8 | 4 | 7 | 6 | 2 |
| | | – | 0 | | |
| | | | 7 | 6 | |
| | | | – | 0 | |
| | | | 7 | 6 | 2 |
| | | – | 3 | 8 | 4 |
| | | | 3 | 7 | 8 |
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