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What is the quotient and remainder when $ 1221 $ is divided by $ 6401 $ ?
Answer
The quotient is 0 and the remainder is 1221.
Explanation
Division Table
|
| | | | 0 | 0 | 0 | 0 |
6 | 4 | 0 | 1 | 1 | 2 | 2 | 1 |
| | | – | 0 | | | |
| | | | 1 | 2 | | |
| | | | – | 0 | | |
| | | | 1 | 2 | 2 | |
| | | | | – | 0 | |
| | | | 1 | 2 | 2 | 1 |
| | | | | | – | 0 |
| | | | 1 | 2 | 2 | 1 |
STEP 0: set up a division table
|
| | | | | | | |
6 | 4 | 0 | 1 | 1 | 2 | 2 | 1 |
STEP 1: DIVIDE 1 : 6401 = 0 with a remainder of 1
|
| | | | 0 | | | |
6 | 4 | 0 | 1 | 1 | 2 | 2 | 1 |
STEP 2: MULTIPLY 0 · 6401 = 0
|
| | | | 0 | | | |
6 | 4 | 0 | 1 | 1 | 2 | 2 | 1 |
| | | | 0 | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | | | 0 | | | |
6 | 4 | 0 | 1 | 1 | 2 | 2 | 1 |
| | | – | 0 | | | |
| | | | 1 | | | |
STEP 4: BRING DOWN
|
| | | | 0 | | | |
6 | 4 | 0 | 1 | 1 | 2 | 2 | 1 |
| | | – | 0 | | | |
| | | | 1 | 2 | | |
STEP 5: DIVIDE 12 : 6401 = 0 with a remainder of 12
|
| | | | 0 | 0 | | |
6 | 4 | 0 | 1 | 1 | 2 | 2 | 1 |
| | | – | 0 | | | |
| | | | 1 | 2 | | |
STEP 6: MULTIPLY 0 · 6401 = 0
|
| | | | 0 | 0 | | |
6 | 4 | 0 | 1 | 1 | 2 | 2 | 1 |
| | | – | 0 | | | |
| | | | 1 | 2 | | |
| | | | | 0 | | |
STEP 7: SUBTRACT 12 - 0 = 12
|
| | | | 0 | 0 | | |
6 | 4 | 0 | 1 | 1 | 2 | 2 | 1 |
| | | – | 0 | | | |
| | | | 1 | 2 | | |
| | | | – | 0 | | |
| | | | 1 | 2 | | |
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | |
6 | 4 | 0 | 1 | 1 | 2 | 2 | 1 |
| | | – | 0 | | | |
| | | | 1 | 2 | | |
| | | | – | 0 | | |
| | | | 1 | 2 | 2 | |
STEP 9: DIVIDE 122 : 6401 = 0 with a remainder of 122
|
| | | | 0 | 0 | 0 | |
6 | 4 | 0 | 1 | 1 | 2 | 2 | 1 |
| | | – | 0 | | | |
| | | | 1 | 2 | | |
| | | | – | 0 | | |
| | | | 1 | 2 | 2 | |
STEP 10: MULTIPLY 0 · 6401 = 0
|
| | | | 0 | 0 | 0 | |
6 | 4 | 0 | 1 | 1 | 2 | 2 | 1 |
| | | – | 0 | | | |
| | | | 1 | 2 | | |
| | | | – | 0 | | |
| | | | 1 | 2 | 2 | |
| | | | | | 0 | |
STEP 11: SUBTRACT 122 - 0 = 122
|
| | | | 0 | 0 | 0 | |
6 | 4 | 0 | 1 | 1 | 2 | 2 | 1 |
| | | – | 0 | | | |
| | | | 1 | 2 | | |
| | | | – | 0 | | |
| | | | 1 | 2 | 2 | |
| | | | | – | 0 | |
| | | | 1 | 2 | 2 | |
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 0 | |
6 | 4 | 0 | 1 | 1 | 2 | 2 | 1 |
| | | – | 0 | | | |
| | | | 1 | 2 | | |
| | | | – | 0 | | |
| | | | 1 | 2 | 2 | |
| | | | | – | 0 | |
| | | | 1 | 2 | 2 | 1 |
STEP 13: DIVIDE 1221 : 6401 = 0 with a remainder of 1221
|
| | | | 0 | 0 | 0 | 0 |
6 | 4 | 0 | 1 | 1 | 2 | 2 | 1 |
| | | – | 0 | | | |
| | | | 1 | 2 | | |
| | | | – | 0 | | |
| | | | 1 | 2 | 2 | |
| | | | | – | 0 | |
| | | | 1 | 2 | 2 | 1 |
STEP 14: MULTIPLY 0 · 6401 = 0
|
| | | | 0 | 0 | 0 | 0 |
6 | 4 | 0 | 1 | 1 | 2 | 2 | 1 |
| | | – | 0 | | | |
| | | | 1 | 2 | | |
| | | | – | 0 | | |
| | | | 1 | 2 | 2 | |
| | | | | – | 0 | |
| | | | 1 | 2 | 2 | 1 |
| | | | | | | 0 |
STEP 15: SUBTRACT 1221 - 0 = 1221
|
| | | | 0 | 0 | 0 | 0 |
6 | 4 | 0 | 1 | 1 | 2 | 2 | 1 |
| | | – | 0 | | | |
| | | | 1 | 2 | | |
| | | | – | 0 | | |
| | | | 1 | 2 | 2 | |
| | | | | – | 0 | |
| | | | 1 | 2 | 2 | 1 |
| | | | | | – | 0 |
| | | | 1 | 2 | 2 | 1 |
STEP 15: SUBTRACT 1221 - 0 = 1221
|
| | | | 0 | 0 | 0 | 0 |
6 | 4 | 0 | 1 | 1 | 2 | 2 | 1 |
| | | – | 0 | | | |
| | | | 1 | 2 | | |
| | | | – | 0 | | |
| | | | 1 | 2 | 2 | |
| | | | | – | 0 | |
| | | | 1 | 2 | 2 | 1 |
| | | | | | – | 0 |
| | | | 1 | 2 | 2 | 1 |
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