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What is the quotient and remainder when $ 12473 $ is divided by $ 499 $ ?
Answer
The quotient is 24 and the remainder is 497.
Explanation
Division Table
|
| | | 0 | 0 | 0 | 2 | 4 |
4 | 9 | 9 | 1 | 2 | 4 | 7 | 3 |
| | – | 0 | | | | |
| | | 1 | 2 | | | |
| | | – | 0 | | | |
| | | 1 | 2 | 4 | | |
| | | | – | 0 | | |
| | | 1 | 2 | 4 | 7 | |
| | | – | 9 | 9 | 8 | |
| | | | 2 | 4 | 9 | 3 |
| | | – | 1 | 9 | 9 | 6 |
| | | | | 4 | 9 | 7 |
STEP 0: set up a division table
|
| | | | | | | |
4 | 9 | 9 | 1 | 2 | 4 | 7 | 3 |
STEP 1: DIVIDE 1 : 499 = 0 with a remainder of 1
|
| | | 0 | | | | |
4 | 9 | 9 | 1 | 2 | 4 | 7 | 3 |
STEP 2: MULTIPLY 0 · 499 = 0
|
| | | 0 | | | | |
4 | 9 | 9 | 1 | 2 | 4 | 7 | 3 |
| | | 0 | | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | | 0 | | | | |
4 | 9 | 9 | 1 | 2 | 4 | 7 | 3 |
| | – | 0 | | | | |
| | | 1 | | | | |
STEP 4: BRING DOWN
|
| | | 0 | | | | |
4 | 9 | 9 | 1 | 2 | 4 | 7 | 3 |
| | – | 0 | | | | |
| | | 1 | 2 | | | |
STEP 5: DIVIDE 12 : 499 = 0 with a remainder of 12
|
| | | 0 | 0 | | | |
4 | 9 | 9 | 1 | 2 | 4 | 7 | 3 |
| | – | 0 | | | | |
| | | 1 | 2 | | | |
STEP 6: MULTIPLY 0 · 499 = 0
|
| | | 0 | 0 | | | |
4 | 9 | 9 | 1 | 2 | 4 | 7 | 3 |
| | – | 0 | | | | |
| | | 1 | 2 | | | |
| | | | 0 | | | |
STEP 7: SUBTRACT 12 - 0 = 12
|
| | | 0 | 0 | | | |
4 | 9 | 9 | 1 | 2 | 4 | 7 | 3 |
| | – | 0 | | | | |
| | | 1 | 2 | | | |
| | | – | 0 | | | |
| | | 1 | 2 | | | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | | | |
4 | 9 | 9 | 1 | 2 | 4 | 7 | 3 |
| | – | 0 | | | | |
| | | 1 | 2 | | | |
| | | – | 0 | | | |
| | | 1 | 2 | 4 | | |
STEP 9: DIVIDE 124 : 499 = 0 with a remainder of 124
|
| | | 0 | 0 | 0 | | |
4 | 9 | 9 | 1 | 2 | 4 | 7 | 3 |
| | – | 0 | | | | |
| | | 1 | 2 | | | |
| | | – | 0 | | | |
| | | 1 | 2 | 4 | | |
STEP 10: MULTIPLY 0 · 499 = 0
|
| | | 0 | 0 | 0 | | |
4 | 9 | 9 | 1 | 2 | 4 | 7 | 3 |
| | – | 0 | | | | |
| | | 1 | 2 | | | |
| | | – | 0 | | | |
| | | 1 | 2 | 4 | | |
| | | | | 0 | | |
STEP 11: SUBTRACT 124 - 0 = 124
|
| | | 0 | 0 | 0 | | |
4 | 9 | 9 | 1 | 2 | 4 | 7 | 3 |
| | – | 0 | | | | |
| | | 1 | 2 | | | |
| | | – | 0 | | | |
| | | 1 | 2 | 4 | | |
| | | | – | 0 | | |
| | | 1 | 2 | 4 | | |
STEP 12: BRING DOWN
|
| | | 0 | 0 | 0 | | |
4 | 9 | 9 | 1 | 2 | 4 | 7 | 3 |
| | – | 0 | | | | |
| | | 1 | 2 | | | |
| | | – | 0 | | | |
| | | 1 | 2 | 4 | | |
| | | | – | 0 | | |
| | | 1 | 2 | 4 | 7 | |
STEP 13: DIVIDE 1247 : 499 = 2 with a remainder of 249
|
| | | 0 | 0 | 0 | 2 | |
4 | 9 | 9 | 1 | 2 | 4 | 7 | 3 |
| | – | 0 | | | | |
| | | 1 | 2 | | | |
| | | – | 0 | | | |
| | | 1 | 2 | 4 | | |
| | | | – | 0 | | |
| | | 1 | 2 | 4 | 7 | |
STEP 14: MULTIPLY 2 · 499 = 998
|
| | | 0 | 0 | 0 | 2 | |
4 | 9 | 9 | 1 | 2 | 4 | 7 | 3 |
| | – | 0 | | | | |
| | | 1 | 2 | | | |
| | | – | 0 | | | |
| | | 1 | 2 | 4 | | |
| | | | – | 0 | | |
| | | 1 | 2 | 4 | 7 | |
| | | | 9 | 9 | 8 | |
STEP 15: SUBTRACT 1247 - 998 = 249
|
| | | 0 | 0 | 0 | 2 | |
4 | 9 | 9 | 1 | 2 | 4 | 7 | 3 |
| | – | 0 | | | | |
| | | 1 | 2 | | | |
| | | – | 0 | | | |
| | | 1 | 2 | 4 | | |
| | | | – | 0 | | |
| | | 1 | 2 | 4 | 7 | |
| | | – | 9 | 9 | 8 | |
| | | | 2 | 4 | 9 | |
STEP 16: BRING DOWN
|
| | | 0 | 0 | 0 | 2 | |
4 | 9 | 9 | 1 | 2 | 4 | 7 | 3 |
| | – | 0 | | | | |
| | | 1 | 2 | | | |
| | | – | 0 | | | |
| | | 1 | 2 | 4 | | |
| | | | – | 0 | | |
| | | 1 | 2 | 4 | 7 | |
| | | – | 9 | 9 | 8 | |
| | | | 2 | 4 | 9 | 3 |
STEP 17: DIVIDE 2493 : 499 = 4 with a remainder of 497
|
| | | 0 | 0 | 0 | 2 | 4 |
4 | 9 | 9 | 1 | 2 | 4 | 7 | 3 |
| | – | 0 | | | | |
| | | 1 | 2 | | | |
| | | – | 0 | | | |
| | | 1 | 2 | 4 | | |
| | | | – | 0 | | |
| | | 1 | 2 | 4 | 7 | |
| | | – | 9 | 9 | 8 | |
| | | | 2 | 4 | 9 | 3 |
STEP 18: MULTIPLY 4 · 499 = 1996
|
| | | 0 | 0 | 0 | 2 | 4 |
4 | 9 | 9 | 1 | 2 | 4 | 7 | 3 |
| | – | 0 | | | | |
| | | 1 | 2 | | | |
| | | – | 0 | | | |
| | | 1 | 2 | 4 | | |
| | | | – | 0 | | |
| | | 1 | 2 | 4 | 7 | |
| | | – | 9 | 9 | 8 | |
| | | | 2 | 4 | 9 | 3 |
| | | | 1 | 9 | 9 | 6 |
STEP 19: SUBTRACT 2493 - 1996 = 497
|
| | | 0 | 0 | 0 | 2 | 4 |
4 | 9 | 9 | 1 | 2 | 4 | 7 | 3 |
| | – | 0 | | | | |
| | | 1 | 2 | | | |
| | | – | 0 | | | |
| | | 1 | 2 | 4 | | |
| | | | – | 0 | | |
| | | 1 | 2 | 4 | 7 | |
| | | – | 9 | 9 | 8 | |
| | | | 2 | 4 | 9 | 3 |
| | | – | 1 | 9 | 9 | 6 |
| | | | | 4 | 9 | 7 |
STEP 19: SUBTRACT 2493 - 1996 = 497
|
| | | 0 | 0 | 0 | 2 | 4 |
4 | 9 | 9 | 1 | 2 | 4 | 7 | 3 |
| | – | 0 | | | | |
| | | 1 | 2 | | | |
| | | – | 0 | | | |
| | | 1 | 2 | 4 | | |
| | | | – | 0 | | |
| | | 1 | 2 | 4 | 7 | |
| | | – | 9 | 9 | 8 | |
| | | | 2 | 4 | 9 | 3 |
| | | – | 1 | 9 | 9 | 6 |
| | | | | 4 | 9 | 7 |
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