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Question
What is the quotient and remainder when $ 301 $ is divided by $ 699 $ ?
Answer
The quotient is 0 and the remainder is 301.
Explanation
|
Division Table
|
| | | | 0 | 0 | 0 |
| 6 | 9 | 9 | 3 | 0 | 1 |
| | | – | 0 | | |
| | | | 3 | 0 | |
| | | | – | 0 | |
| | | | 3 | 0 | 1 |
| | | | | – | 0 |
| | | | 3 | 0 | 1 |
STEP 0: set up a division table
|
| | | | | | |
| 6 | 9 | 9 | 3 | 0 | 1 |
STEP 1: DIVIDE 3 : 699 = 0 with a remainder of 3
|
| | | | 0 | | |
| 6 | 9 | 9 | 3 | 0 | 1 |
STEP 2: MULTIPLY 0 · 699 = 0
|
| | | | 0 | | |
| 6 | 9 | 9 | 3 | 0 | 1 |
| | | | 0 | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | | | 0 | | |
| 6 | 9 | 9 | 3 | 0 | 1 |
| | | – | 0 | | |
| | | | 3 | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | |
| 6 | 9 | 9 | 3 | 0 | 1 |
| | | – | 0 | | |
| | | | 3 | 0 | |
STEP 5: DIVIDE 30 : 699 = 0 with a remainder of 30
|
| | | | 0 | 0 | |
| 6 | 9 | 9 | 3 | 0 | 1 |
| | | – | 0 | | |
| | | | 3 | 0 | |
STEP 6: MULTIPLY 0 · 699 = 0
|
| | | | 0 | 0 | |
| 6 | 9 | 9 | 3 | 0 | 1 |
| | | – | 0 | | |
| | | | 3 | 0 | |
| | | | | 0 | |
STEP 7: SUBTRACT 30 - 0 = 30
|
| | | | 0 | 0 | |
| 6 | 9 | 9 | 3 | 0 | 1 |
| | | – | 0 | | |
| | | | 3 | 0 | |
| | | | – | 0 | |
| | | | 3 | 0 | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | |
| 6 | 9 | 9 | 3 | 0 | 1 |
| | | – | 0 | | |
| | | | 3 | 0 | |
| | | | – | 0 | |
| | | | 3 | 0 | 1 |
STEP 9: DIVIDE 301 : 699 = 0 with a remainder of 301
|
| | | | 0 | 0 | 0 |
| 6 | 9 | 9 | 3 | 0 | 1 |
| | | – | 0 | | |
| | | | 3 | 0 | |
| | | | – | 0 | |
| | | | 3 | 0 | 1 |
STEP 10: MULTIPLY 0 · 699 = 0
|
| | | | 0 | 0 | 0 |
| 6 | 9 | 9 | 3 | 0 | 1 |
| | | – | 0 | | |
| | | | 3 | 0 | |
| | | | – | 0 | |
| | | | 3 | 0 | 1 |
| | | | | | 0 |
STEP 11: SUBTRACT 301 - 0 = 301
|
| | | | 0 | 0 | 0 |
| 6 | 9 | 9 | 3 | 0 | 1 |
| | | – | 0 | | |
| | | | 3 | 0 | |
| | | | – | 0 | |
| | | | 3 | 0 | 1 |
| | | | | – | 0 |
| | | | 3 | 0 | 1 |
STEP 11: SUBTRACT 301 - 0 = 301
|
| | | | 0 | 0 | 0 |
| 6 | 9 | 9 | 3 | 0 | 1 |
| | | – | 0 | | |
| | | | 3 | 0 | |
| | | | – | 0 | |
| | | | 3 | 0 | 1 |
| | | | | – | 0 |
| | | | 3 | 0 | 1 |
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