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Question
What is the quotient and remainder when $ 8512 $ is divided by $ 38 $ ?
Answer
The quotient is 224 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 2 | 2 | 4 |
| 3 | 8 | 8 | 5 | 1 | 2 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | – | 7 | 6 | | |
| | | | 9 | 1 | |
| | | – | 7 | 6 | |
| | | | 1 | 5 | 2 |
| | | – | 1 | 5 | 2 |
| | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | |
| 3 | 8 | 8 | 5 | 1 | 2 |
STEP 1: DIVIDE 8 : 38 = 0 with a remainder of 8
|
| | | 0 | | | |
| 3 | 8 | 8 | 5 | 1 | 2 |
STEP 2: MULTIPLY 0 · 38 = 0
|
| | | 0 | | | |
| 3 | 8 | 8 | 5 | 1 | 2 |
| | | 0 | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | | |
| 3 | 8 | 8 | 5 | 1 | 2 |
| | – | 0 | | | |
| | | 8 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 3 | 8 | 8 | 5 | 1 | 2 |
| | – | 0 | | | |
| | | 8 | 5 | | |
STEP 5: DIVIDE 85 : 38 = 2 with a remainder of 9
|
| | | 0 | 2 | | |
| 3 | 8 | 8 | 5 | 1 | 2 |
| | – | 0 | | | |
| | | 8 | 5 | | |
STEP 6: MULTIPLY 2 · 38 = 76
|
| | | 0 | 2 | | |
| 3 | 8 | 8 | 5 | 1 | 2 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | | 7 | 6 | | |
STEP 7: SUBTRACT 85 - 76 = 9
|
| | | 0 | 2 | | |
| 3 | 8 | 8 | 5 | 1 | 2 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | – | 7 | 6 | | |
| | | | 9 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | | |
| 3 | 8 | 8 | 5 | 1 | 2 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | – | 7 | 6 | | |
| | | | 9 | 1 | |
STEP 9: DIVIDE 91 : 38 = 2 with a remainder of 15
|
| | | 0 | 2 | 2 | |
| 3 | 8 | 8 | 5 | 1 | 2 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | – | 7 | 6 | | |
| | | | 9 | 1 | |
STEP 10: MULTIPLY 2 · 38 = 76
|
| | | 0 | 2 | 2 | |
| 3 | 8 | 8 | 5 | 1 | 2 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | – | 7 | 6 | | |
| | | | 9 | 1 | |
| | | | 7 | 6 | |
STEP 11: SUBTRACT 91 - 76 = 15
|
| | | 0 | 2 | 2 | |
| 3 | 8 | 8 | 5 | 1 | 2 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | – | 7 | 6 | | |
| | | | 9 | 1 | |
| | | – | 7 | 6 | |
| | | | 1 | 5 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 2 | 2 | |
| 3 | 8 | 8 | 5 | 1 | 2 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | – | 7 | 6 | | |
| | | | 9 | 1 | |
| | | – | 7 | 6 | |
| | | | 1 | 5 | 2 |
STEP 13: DIVIDE 152 : 38 = 4 with a remainder of 0
|
| | | 0 | 2 | 2 | 4 |
| 3 | 8 | 8 | 5 | 1 | 2 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | – | 7 | 6 | | |
| | | | 9 | 1 | |
| | | – | 7 | 6 | |
| | | | 1 | 5 | 2 |
STEP 14: MULTIPLY 4 · 38 = 152
|
| | | 0 | 2 | 2 | 4 |
| 3 | 8 | 8 | 5 | 1 | 2 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | – | 7 | 6 | | |
| | | | 9 | 1 | |
| | | – | 7 | 6 | |
| | | | 1 | 5 | 2 |
| | | | 1 | 5 | 2 |
STEP 15: SUBTRACT 152 - 152 = 0
|
| | | 0 | 2 | 2 | 4 |
| 3 | 8 | 8 | 5 | 1 | 2 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | – | 7 | 6 | | |
| | | | 9 | 1 | |
| | | – | 7 | 6 | |
| | | | 1 | 5 | 2 |
| | | – | 1 | 5 | 2 |
| | | | | | 0 |
STEP 15: SUBTRACT 152 - 152 = 0
|
| | | 0 | 2 | 2 | 4 |
| 3 | 8 | 8 | 5 | 1 | 2 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | – | 7 | 6 | | |
| | | | 9 | 1 | |
| | | – | 7 | 6 | |
| | | | 1 | 5 | 2 |
| | | – | 1 | 5 | 2 |
| | | | | | 0 |
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