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What is the quotient and remainder when $ 5301 $ is divided by $ 710 $ ?
Answer
The quotient is 7 and the remainder is 331.
Explanation
|
Division Table
|
| | | | 0 | 0 | 0 | 7 |
| 7 | 1 | 0 | 5 | 3 | 0 | 1 |
| | | – | 0 | | | |
| | | | 5 | 3 | | |
| | | | – | 0 | | |
| | | | 5 | 3 | 0 | |
| | | | | – | 0 | |
| | | | 5 | 3 | 0 | 1 |
| | | – | 4 | 9 | 7 | 0 |
| | | | | 3 | 3 | 1 |
STEP 0:
set up a division table
|
| | | | | | | |
| 7 | 1 | 0 | 5 | 3 | 0 | 1 |
STEP 1: DIVIDE
5 : 710 = 0 with a remainder of 5
|
| | | | 0 | | | |
| 7 | 1 | 0 | 5 | 3 | 0 | 1 |
STEP 2: MULTIPLY
0 · 710 = 0
|
| | | | 0 | | | |
| 7 | 1 | 0 | 5 | 3 | 0 | 1 |
| | | | 0 | | | |
STEP 3: SUBTRACT
5 - 0 = 5
|
| | | | 0 | | | |
| 7 | 1 | 0 | 5 | 3 | 0 | 1 |
| | | – | 0 | | | |
| | | | 5 | | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | | |
| 7 | 1 | 0 | 5 | 3 | 0 | 1 |
| | | – | 0 | | | |
| | | | 5 | 3 | | |
STEP 5: DIVIDE
53 : 710 = 0 with a remainder of 53
|
| | | | 0 | 0 | | |
| 7 | 1 | 0 | 5 | 3 | 0 | 1 |
| | | – | 0 | | | |
| | | | 5 | 3 | | |
STEP 6: MULTIPLY
0 · 710 = 0
|
| | | | 0 | 0 | | |
| 7 | 1 | 0 | 5 | 3 | 0 | 1 |
| | | – | 0 | | | |
| | | | 5 | 3 | | |
| | | | | 0 | | |
STEP 7: SUBTRACT
53 - 0 = 53
|
| | | | 0 | 0 | | |
| 7 | 1 | 0 | 5 | 3 | 0 | 1 |
| | | – | 0 | | | |
| | | | 5 | 3 | | |
| | | | – | 0 | | |
| | | | 5 | 3 | | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | |
| 7 | 1 | 0 | 5 | 3 | 0 | 1 |
| | | – | 0 | | | |
| | | | 5 | 3 | | |
| | | | – | 0 | | |
| | | | 5 | 3 | 0 | |
STEP 9: DIVIDE
530 : 710 = 0 with a remainder of 530
|
| | | | 0 | 0 | 0 | |
| 7 | 1 | 0 | 5 | 3 | 0 | 1 |
| | | – | 0 | | | |
| | | | 5 | 3 | | |
| | | | – | 0 | | |
| | | | 5 | 3 | 0 | |
STEP 10: MULTIPLY
0 · 710 = 0
|
| | | | 0 | 0 | 0 | |
| 7 | 1 | 0 | 5 | 3 | 0 | 1 |
| | | – | 0 | | | |
| | | | 5 | 3 | | |
| | | | – | 0 | | |
| | | | 5 | 3 | 0 | |
| | | | | | 0 | |
STEP 11: SUBTRACT
530 - 0 = 530
|
| | | | 0 | 0 | 0 | |
| 7 | 1 | 0 | 5 | 3 | 0 | 1 |
| | | – | 0 | | | |
| | | | 5 | 3 | | |
| | | | – | 0 | | |
| | | | 5 | 3 | 0 | |
| | | | | – | 0 | |
| | | | 5 | 3 | 0 | |
|
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 0 | |
| 7 | 1 | 0 | 5 | 3 | 0 | 1 |
| | | – | 0 | | | |
| | | | 5 | 3 | | |
| | | | – | 0 | | |
| | | | 5 | 3 | 0 | |
| | | | | – | 0 | |
| | | | 5 | 3 | 0 | 1 |
STEP 13: DIVIDE
5301 : 710 = 7 with a remainder of 331
|
| | | | 0 | 0 | 0 | 7 |
| 7 | 1 | 0 | 5 | 3 | 0 | 1 |
| | | – | 0 | | | |
| | | | 5 | 3 | | |
| | | | – | 0 | | |
| | | | 5 | 3 | 0 | |
| | | | | – | 0 | |
| | | | 5 | 3 | 0 | 1 |
STEP 14: MULTIPLY
7 · 710 = 4970
|
| | | | 0 | 0 | 0 | 7 |
| 7 | 1 | 0 | 5 | 3 | 0 | 1 |
| | | – | 0 | | | |
| | | | 5 | 3 | | |
| | | | – | 0 | | |
| | | | 5 | 3 | 0 | |
| | | | | – | 0 | |
| | | | 5 | 3 | 0 | 1 |
| | | | 4 | 9 | 7 | 0 |
STEP 15: SUBTRACT
5301 - 4970 = 331
|
| | | | 0 | 0 | 0 | 7 |
| 7 | 1 | 0 | 5 | 3 | 0 | 1 |
| | | – | 0 | | | |
| | | | 5 | 3 | | |
| | | | – | 0 | | |
| | | | 5 | 3 | 0 | |
| | | | | – | 0 | |
| | | | 5 | 3 | 0 | 1 |
| | | – | 4 | 9 | 7 | 0 |
| | | | | 3 | 3 | 1 |
STEP 15: SUBTRACT
5301 - 4970 = 331
|
| | | | 0 | 0 | 0 | 7 |
| 7 | 1 | 0 | 5 | 3 | 0 | 1 |
| | | – | 0 | | | |
| | | | 5 | 3 | | |
| | | | – | 0 | | |
| | | | 5 | 3 | 0 | |
| | | | | – | 0 | |
| | | | 5 | 3 | 0 | 1 |
| | | – | 4 | 9 | 7 | 0 |
| | | | | 3 | 3 | 1 |
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