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Question
What is the quotient and remainder when $ 770 $ is divided by $ 465 $ ?
Answer
The quotient is 1 and the remainder is 305.
Explanation
|
Division Table
|
| | | | 0 | 0 | 1 |
| 4 | 6 | 5 | 7 | 7 | 0 |
| | | – | 0 | | |
| | | | 7 | 7 | |
| | | | – | 0 | |
| | | | 7 | 7 | 0 |
| | | – | 4 | 6 | 5 |
| | | | 3 | 0 | 5 |
STEP 0: set up a division table
|
| | | | | | |
| 4 | 6 | 5 | 7 | 7 | 0 |
STEP 1: DIVIDE 7 : 465 = 0 with a remainder of 7
|
| | | | 0 | | |
| 4 | 6 | 5 | 7 | 7 | 0 |
STEP 2: MULTIPLY 0 · 465 = 0
|
| | | | 0 | | |
| 4 | 6 | 5 | 7 | 7 | 0 |
| | | | 0 | | |
STEP 3: SUBTRACT 7 - 0 = 7
|
| | | | 0 | | |
| 4 | 6 | 5 | 7 | 7 | 0 |
| | | – | 0 | | |
| | | | 7 | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | |
| 4 | 6 | 5 | 7 | 7 | 0 |
| | | – | 0 | | |
| | | | 7 | 7 | |
STEP 5: DIVIDE 77 : 465 = 0 with a remainder of 77
|
| | | | 0 | 0 | |
| 4 | 6 | 5 | 7 | 7 | 0 |
| | | – | 0 | | |
| | | | 7 | 7 | |
STEP 6: MULTIPLY 0 · 465 = 0
|
| | | | 0 | 0 | |
| 4 | 6 | 5 | 7 | 7 | 0 |
| | | – | 0 | | |
| | | | 7 | 7 | |
| | | | | 0 | |
STEP 7: SUBTRACT 77 - 0 = 77
|
| | | | 0 | 0 | |
| 4 | 6 | 5 | 7 | 7 | 0 |
| | | – | 0 | | |
| | | | 7 | 7 | |
| | | | – | 0 | |
| | | | 7 | 7 | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | |
| 4 | 6 | 5 | 7 | 7 | 0 |
| | | – | 0 | | |
| | | | 7 | 7 | |
| | | | – | 0 | |
| | | | 7 | 7 | 0 |
STEP 9: DIVIDE 770 : 465 = 1 with a remainder of 305
|
| | | | 0 | 0 | 1 |
| 4 | 6 | 5 | 7 | 7 | 0 |
| | | – | 0 | | |
| | | | 7 | 7 | |
| | | | – | 0 | |
| | | | 7 | 7 | 0 |
STEP 10: MULTIPLY 1 · 465 = 465
|
| | | | 0 | 0 | 1 |
| 4 | 6 | 5 | 7 | 7 | 0 |
| | | – | 0 | | |
| | | | 7 | 7 | |
| | | | – | 0 | |
| | | | 7 | 7 | 0 |
| | | | 4 | 6 | 5 |
STEP 11: SUBTRACT 770 - 465 = 305
|
| | | | 0 | 0 | 1 |
| 4 | 6 | 5 | 7 | 7 | 0 |
| | | – | 0 | | |
| | | | 7 | 7 | |
| | | | – | 0 | |
| | | | 7 | 7 | 0 |
| | | – | 4 | 6 | 5 |
| | | | 3 | 0 | 5 |
STEP 11: SUBTRACT 770 - 465 = 305
|
| | | | 0 | 0 | 1 |
| 4 | 6 | 5 | 7 | 7 | 0 |
| | | – | 0 | | |
| | | | 7 | 7 | |
| | | | – | 0 | |
| | | | 7 | 7 | 0 |
| | | – | 4 | 6 | 5 |
| | | | 3 | 0 | 5 |
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