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Question
What is the quotient and remainder when $ 912494 $ is divided by $ 38 $ ?
Answer
The quotient is 24013 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 2 | 4 | 0 | 1 | 3 |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
| | – | 0 | | | | | |
| | | 9 | 1 | | | | |
| | – | 7 | 6 | | | | |
| | | 1 | 5 | 2 | | | |
| | – | 1 | 5 | 2 | | | |
| | | | | 4 | | | |
| | | | – | 0 | | | |
| | | | | 4 | 9 | | |
| | | | – | 3 | 8 | | |
| | | | | 1 | 1 | 4 | |
| | | | – | 1 | 1 | 4 | |
| | | | | | | 0 | |
STEP 0: set up a division table
|
| | | | | | | | |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
STEP 1: DIVIDE 9 : 38 = 0 with a remainder of 9
|
| | | 0 | | | | | |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
STEP 2: MULTIPLY 0 · 38 = 0
|
| | | 0 | | | | | |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
| | | 0 | | | | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | | 0 | | | | | |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
| | – | 0 | | | | | |
| | | 9 | | | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | | | |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
| | – | 0 | | | | | |
| | | 9 | 1 | | | | |
STEP 5: DIVIDE 91 : 38 = 2 with a remainder of 15
|
| | | 0 | 2 | | | | |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
| | – | 0 | | | | | |
| | | 9 | 1 | | | | |
STEP 6: MULTIPLY 2 · 38 = 76
|
| | | 0 | 2 | | | | |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
| | – | 0 | | | | | |
| | | 9 | 1 | | | | |
| | | 7 | 6 | | | | |
STEP 7: SUBTRACT 91 - 76 = 15
|
| | | 0 | 2 | | | | |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
| | – | 0 | | | | | |
| | | 9 | 1 | | | | |
| | – | 7 | 6 | | | | |
| | | 1 | 5 | | | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 2 | | | | |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
| | – | 0 | | | | | |
| | | 9 | 1 | | | | |
| | – | 7 | 6 | | | | |
| | | 1 | 5 | 2 | | | |
STEP 9: DIVIDE 152 : 38 = 4 with a remainder of 0
|
| | | 0 | 2 | 4 | | | |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
| | – | 0 | | | | | |
| | | 9 | 1 | | | | |
| | – | 7 | 6 | | | | |
| | | 1 | 5 | 2 | | | |
STEP 10: MULTIPLY 4 · 38 = 152
|
| | | 0 | 2 | 4 | | | |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
| | – | 0 | | | | | |
| | | 9 | 1 | | | | |
| | – | 7 | 6 | | | | |
| | | 1 | 5 | 2 | | | |
| | | 1 | 5 | 2 | | | |
STEP 11: SUBTRACT 152 - 152 = 0
|
| | | 0 | 2 | 4 | | | |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
| | – | 0 | | | | | |
| | | 9 | 1 | | | | |
| | – | 7 | 6 | | | | |
| | | 1 | 5 | 2 | | | |
| | – | 1 | 5 | 2 | | | |
| | | | | 0 | | | |
|
STEP 12: BRING DOWN
|
| | | 0 | 2 | 4 | | | |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
| | – | 0 | | | | | |
| | | 9 | 1 | | | | |
| | – | 7 | 6 | | | | |
| | | 1 | 5 | 2 | | | |
| | – | 1 | 5 | 2 | | | |
| | | | | 4 | | | |
STEP 13: DIVIDE 4 : 38 = 0 with a remainder of 4
|
| | | 0 | 2 | 4 | 0 | | |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
| | – | 0 | | | | | |
| | | 9 | 1 | | | | |
| | – | 7 | 6 | | | | |
| | | 1 | 5 | 2 | | | |
| | – | 1 | 5 | 2 | | | |
| | | | | 4 | | | |
STEP 14: MULTIPLY 0 · 38 = 0
|
| | | 0 | 2 | 4 | 0 | | |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
| | – | 0 | | | | | |
| | | 9 | 1 | | | | |
| | – | 7 | 6 | | | | |
| | | 1 | 5 | 2 | | | |
| | – | 1 | 5 | 2 | | | |
| | | | | 4 | | | |
| | | | | 0 | | | |
STEP 15: SUBTRACT 4 - 0 = 4
|
| | | 0 | 2 | 4 | 0 | | |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
| | – | 0 | | | | | |
| | | 9 | 1 | | | | |
| | – | 7 | 6 | | | | |
| | | 1 | 5 | 2 | | | |
| | – | 1 | 5 | 2 | | | |
| | | | | 4 | | | |
| | | | – | 0 | | | |
| | | | | 4 | | | |
|
STEP 16: BRING DOWN
|
| | | 0 | 2 | 4 | 0 | | |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
| | – | 0 | | | | | |
| | | 9 | 1 | | | | |
| | – | 7 | 6 | | | | |
| | | 1 | 5 | 2 | | | |
| | – | 1 | 5 | 2 | | | |
| | | | | 4 | | | |
| | | | – | 0 | | | |
| | | | | 4 | 9 | | |
STEP 17: DIVIDE 49 : 38 = 1 with a remainder of 11
|
| | | 0 | 2 | 4 | 0 | 1 | |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
| | – | 0 | | | | | |
| | | 9 | 1 | | | | |
| | – | 7 | 6 | | | | |
| | | 1 | 5 | 2 | | | |
| | – | 1 | 5 | 2 | | | |
| | | | | 4 | | | |
| | | | – | 0 | | | |
| | | | | 4 | 9 | | |
STEP 18: MULTIPLY 1 · 38 = 38
|
| | | 0 | 2 | 4 | 0 | 1 | |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
| | – | 0 | | | | | |
| | | 9 | 1 | | | | |
| | – | 7 | 6 | | | | |
| | | 1 | 5 | 2 | | | |
| | – | 1 | 5 | 2 | | | |
| | | | | 4 | | | |
| | | | – | 0 | | | |
| | | | | 4 | 9 | | |
| | | | | 3 | 8 | | |
STEP 19: SUBTRACT 49 - 38 = 11
|
| | | 0 | 2 | 4 | 0 | 1 | |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
| | – | 0 | | | | | |
| | | 9 | 1 | | | | |
| | – | 7 | 6 | | | | |
| | | 1 | 5 | 2 | | | |
| | – | 1 | 5 | 2 | | | |
| | | | | 4 | | | |
| | | | – | 0 | | | |
| | | | | 4 | 9 | | |
| | | | – | 3 | 8 | | |
| | | | | 1 | 1 | | |
|
STEP 20: BRING DOWN
|
| | | 0 | 2 | 4 | 0 | 1 | |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
| | – | 0 | | | | | |
| | | 9 | 1 | | | | |
| | – | 7 | 6 | | | | |
| | | 1 | 5 | 2 | | | |
| | – | 1 | 5 | 2 | | | |
| | | | | 4 | | | |
| | | | – | 0 | | | |
| | | | | 4 | 9 | | |
| | | | – | 3 | 8 | | |
| | | | | 1 | 1 | 4 | |
STEP 21: DIVIDE 114 : 38 = 3 with a remainder of 0
|
| | | 0 | 2 | 4 | 0 | 1 | 3 |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
| | – | 0 | | | | | |
| | | 9 | 1 | | | | |
| | – | 7 | 6 | | | | |
| | | 1 | 5 | 2 | | | |
| | – | 1 | 5 | 2 | | | |
| | | | | 4 | | | |
| | | | – | 0 | | | |
| | | | | 4 | 9 | | |
| | | | – | 3 | 8 | | |
| | | | | 1 | 1 | 4 | |
STEP 22: MULTIPLY 3 · 38 = 114
|
| | | 0 | 2 | 4 | 0 | 1 | 3 |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
| | – | 0 | | | | | |
| | | 9 | 1 | | | | |
| | – | 7 | 6 | | | | |
| | | 1 | 5 | 2 | | | |
| | – | 1 | 5 | 2 | | | |
| | | | | 4 | | | |
| | | | – | 0 | | | |
| | | | | 4 | 9 | | |
| | | | – | 3 | 8 | | |
| | | | | 1 | 1 | 4 | |
| | | | | 1 | 1 | 4 | |
STEP 23: SUBTRACT 114 - 114 = 0
|
| | | 0 | 2 | 4 | 0 | 1 | 3 |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
| | – | 0 | | | | | |
| | | 9 | 1 | | | | |
| | – | 7 | 6 | | | | |
| | | 1 | 5 | 2 | | | |
| | – | 1 | 5 | 2 | | | |
| | | | | 4 | | | |
| | | | – | 0 | | | |
| | | | | 4 | 9 | | |
| | | | – | 3 | 8 | | |
| | | | | 1 | 1 | 4 | |
| | | | – | 1 | 1 | 4 | |
| | | | | | | 0 | |
STEP 23: SUBTRACT 114 - 114 = 0
|
| | | 0 | 2 | 4 | 0 | 1 | 3 |
| 3 | 8 | 9 | 1 | 2 | 4 | 9 | 4 |
| | – | 0 | | | | | |
| | | 9 | 1 | | | | |
| | – | 7 | 6 | | | | |
| | | 1 | 5 | 2 | | | |
| | – | 1 | 5 | 2 | | | |
| | | | | 4 | | | |
| | | | – | 0 | | | |
| | | | | 4 | 9 | | |
| | | | – | 3 | 8 | | |
| | | | | 1 | 1 | 4 | |
| | | | – | 1 | 1 | 4 | |
| | | | | | | 0 | |
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