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What is the quotient and remainder when $ 324324 $ is divided by $ 999915 $ ?
Answer
The quotient is 0 and the remainder is 324324.
Explanation
Division Table
|
| | | | | | 0 | 0 | 0 | 0 | 0 | 0 |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | – | 0 | | | | | |
| | | | | | 3 | 2 | | | | |
| | | | | | – | 0 | | | | |
| | | | | | 3 | 2 | 4 | | | |
| | | | | | | – | 0 | | | |
| | | | | | 3 | 2 | 4 | 3 | | |
| | | | | | | | – | 0 | | |
| | | | | | 3 | 2 | 4 | 3 | 2 | |
| | | | | | | | | – | 0 | |
| | | | | | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | | | | | | – | 0 |
| | | | | | 3 | 2 | 4 | 3 | 2 | 4 |
STEP 0: set up a division table
|
| | | | | | | | | | | |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
STEP 1: DIVIDE 3 : 999915 = 0 with a remainder of 3
|
| | | | | | 0 | | | | | |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
STEP 2: MULTIPLY 0 · 999915 = 0
|
| | | | | | 0 | | | | | |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | | 0 | | | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | | | | | 0 | | | | | |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | – | 0 | | | | | |
| | | | | | 3 | | | | | |
STEP 4: BRING DOWN
|
| | | | | | 0 | | | | | |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | – | 0 | | | | | |
| | | | | | 3 | 2 | | | | |
STEP 5: DIVIDE 32 : 999915 = 0 with a remainder of 32
|
| | | | | | 0 | 0 | | | | |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | – | 0 | | | | | |
| | | | | | 3 | 2 | | | | |
STEP 6: MULTIPLY 0 · 999915 = 0
|
| | | | | | 0 | 0 | | | | |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | – | 0 | | | | | |
| | | | | | 3 | 2 | | | | |
| | | | | | | 0 | | | | |
STEP 7: SUBTRACT 32 - 0 = 32
|
| | | | | | 0 | 0 | | | | |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | – | 0 | | | | | |
| | | | | | 3 | 2 | | | | |
| | | | | | – | 0 | | | | |
| | | | | | 3 | 2 | | | | |
STEP 8: BRING DOWN
|
| | | | | | 0 | 0 | | | | |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | – | 0 | | | | | |
| | | | | | 3 | 2 | | | | |
| | | | | | – | 0 | | | | |
| | | | | | 3 | 2 | 4 | | | |
STEP 9: DIVIDE 324 : 999915 = 0 with a remainder of 324
|
| | | | | | 0 | 0 | 0 | | | |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | – | 0 | | | | | |
| | | | | | 3 | 2 | | | | |
| | | | | | – | 0 | | | | |
| | | | | | 3 | 2 | 4 | | | |
STEP 10: MULTIPLY 0 · 999915 = 0
|
| | | | | | 0 | 0 | 0 | | | |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | – | 0 | | | | | |
| | | | | | 3 | 2 | | | | |
| | | | | | – | 0 | | | | |
| | | | | | 3 | 2 | 4 | | | |
| | | | | | | | 0 | | | |
STEP 11: SUBTRACT 324 - 0 = 324
|
| | | | | | 0 | 0 | 0 | | | |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | – | 0 | | | | | |
| | | | | | 3 | 2 | | | | |
| | | | | | – | 0 | | | | |
| | | | | | 3 | 2 | 4 | | | |
| | | | | | | – | 0 | | | |
| | | | | | 3 | 2 | 4 | | | |
STEP 12: BRING DOWN
|
| | | | | | 0 | 0 | 0 | | | |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | – | 0 | | | | | |
| | | | | | 3 | 2 | | | | |
| | | | | | – | 0 | | | | |
| | | | | | 3 | 2 | 4 | | | |
| | | | | | | – | 0 | | | |
| | | | | | 3 | 2 | 4 | 3 | | |
STEP 13: DIVIDE 3243 : 999915 = 0 with a remainder of 3243
|
| | | | | | 0 | 0 | 0 | 0 | | |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | – | 0 | | | | | |
| | | | | | 3 | 2 | | | | |
| | | | | | – | 0 | | | | |
| | | | | | 3 | 2 | 4 | | | |
| | | | | | | – | 0 | | | |
| | | | | | 3 | 2 | 4 | 3 | | |
STEP 14: MULTIPLY 0 · 999915 = 0
|
| | | | | | 0 | 0 | 0 | 0 | | |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | – | 0 | | | | | |
| | | | | | 3 | 2 | | | | |
| | | | | | – | 0 | | | | |
| | | | | | 3 | 2 | 4 | | | |
| | | | | | | – | 0 | | | |
| | | | | | 3 | 2 | 4 | 3 | | |
| | | | | | | | | 0 | | |
STEP 15: SUBTRACT 3243 - 0 = 3243
|
| | | | | | 0 | 0 | 0 | 0 | | |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | – | 0 | | | | | |
| | | | | | 3 | 2 | | | | |
| | | | | | – | 0 | | | | |
| | | | | | 3 | 2 | 4 | | | |
| | | | | | | – | 0 | | | |
| | | | | | 3 | 2 | 4 | 3 | | |
| | | | | | | | – | 0 | | |
| | | | | | 3 | 2 | 4 | 3 | | |
STEP 16: BRING DOWN
|
| | | | | | 0 | 0 | 0 | 0 | | |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | – | 0 | | | | | |
| | | | | | 3 | 2 | | | | |
| | | | | | – | 0 | | | | |
| | | | | | 3 | 2 | 4 | | | |
| | | | | | | – | 0 | | | |
| | | | | | 3 | 2 | 4 | 3 | | |
| | | | | | | | – | 0 | | |
| | | | | | 3 | 2 | 4 | 3 | 2 | |
STEP 17: DIVIDE 32432 : 999915 = 0 with a remainder of 32432
|
| | | | | | 0 | 0 | 0 | 0 | 0 | |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | – | 0 | | | | | |
| | | | | | 3 | 2 | | | | |
| | | | | | – | 0 | | | | |
| | | | | | 3 | 2 | 4 | | | |
| | | | | | | – | 0 | | | |
| | | | | | 3 | 2 | 4 | 3 | | |
| | | | | | | | – | 0 | | |
| | | | | | 3 | 2 | 4 | 3 | 2 | |
STEP 18: MULTIPLY 0 · 999915 = 0
|
| | | | | | 0 | 0 | 0 | 0 | 0 | |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | – | 0 | | | | | |
| | | | | | 3 | 2 | | | | |
| | | | | | – | 0 | | | | |
| | | | | | 3 | 2 | 4 | | | |
| | | | | | | – | 0 | | | |
| | | | | | 3 | 2 | 4 | 3 | | |
| | | | | | | | – | 0 | | |
| | | | | | 3 | 2 | 4 | 3 | 2 | |
| | | | | | | | | | 0 | |
STEP 19: SUBTRACT 32432 - 0 = 32432
|
| | | | | | 0 | 0 | 0 | 0 | 0 | |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | – | 0 | | | | | |
| | | | | | 3 | 2 | | | | |
| | | | | | – | 0 | | | | |
| | | | | | 3 | 2 | 4 | | | |
| | | | | | | – | 0 | | | |
| | | | | | 3 | 2 | 4 | 3 | | |
| | | | | | | | – | 0 | | |
| | | | | | 3 | 2 | 4 | 3 | 2 | |
| | | | | | | | | – | 0 | |
| | | | | | 3 | 2 | 4 | 3 | 2 | |
STEP 20: BRING DOWN
|
| | | | | | 0 | 0 | 0 | 0 | 0 | |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | – | 0 | | | | | |
| | | | | | 3 | 2 | | | | |
| | | | | | – | 0 | | | | |
| | | | | | 3 | 2 | 4 | | | |
| | | | | | | – | 0 | | | |
| | | | | | 3 | 2 | 4 | 3 | | |
| | | | | | | | – | 0 | | |
| | | | | | 3 | 2 | 4 | 3 | 2 | |
| | | | | | | | | – | 0 | |
| | | | | | 3 | 2 | 4 | 3 | 2 | 4 |
STEP 21: DIVIDE 324324 : 999915 = 0 with a remainder of 324324
|
| | | | | | 0 | 0 | 0 | 0 | 0 | 0 |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | – | 0 | | | | | |
| | | | | | 3 | 2 | | | | |
| | | | | | – | 0 | | | | |
| | | | | | 3 | 2 | 4 | | | |
| | | | | | | – | 0 | | | |
| | | | | | 3 | 2 | 4 | 3 | | |
| | | | | | | | – | 0 | | |
| | | | | | 3 | 2 | 4 | 3 | 2 | |
| | | | | | | | | – | 0 | |
| | | | | | 3 | 2 | 4 | 3 | 2 | 4 |
STEP 22: MULTIPLY 0 · 999915 = 0
|
| | | | | | 0 | 0 | 0 | 0 | 0 | 0 |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | – | 0 | | | | | |
| | | | | | 3 | 2 | | | | |
| | | | | | – | 0 | | | | |
| | | | | | 3 | 2 | 4 | | | |
| | | | | | | – | 0 | | | |
| | | | | | 3 | 2 | 4 | 3 | | |
| | | | | | | | – | 0 | | |
| | | | | | 3 | 2 | 4 | 3 | 2 | |
| | | | | | | | | – | 0 | |
| | | | | | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | | | | | | | 0 |
STEP 23: SUBTRACT 324324 - 0 = 324324
|
| | | | | | 0 | 0 | 0 | 0 | 0 | 0 |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | – | 0 | | | | | |
| | | | | | 3 | 2 | | | | |
| | | | | | – | 0 | | | | |
| | | | | | 3 | 2 | 4 | | | |
| | | | | | | – | 0 | | | |
| | | | | | 3 | 2 | 4 | 3 | | |
| | | | | | | | – | 0 | | |
| | | | | | 3 | 2 | 4 | 3 | 2 | |
| | | | | | | | | – | 0 | |
| | | | | | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | | | | | | – | 0 |
| | | | | | 3 | 2 | 4 | 3 | 2 | 4 |
STEP 23: SUBTRACT 324324 - 0 = 324324
|
| | | | | | 0 | 0 | 0 | 0 | 0 | 0 |
9 | 9 | 9 | 9 | 1 | 5 | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | – | 0 | | | | | |
| | | | | | 3 | 2 | | | | |
| | | | | | – | 0 | | | | |
| | | | | | 3 | 2 | 4 | | | |
| | | | | | | – | 0 | | | |
| | | | | | 3 | 2 | 4 | 3 | | |
| | | | | | | | – | 0 | | |
| | | | | | 3 | 2 | 4 | 3 | 2 | |
| | | | | | | | | – | 0 | |
| | | | | | 3 | 2 | 4 | 3 | 2 | 4 |
| | | | | | | | | | – | 0 |
| | | | | | 3 | 2 | 4 | 3 | 2 | 4 |
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