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What is the quotient and remainder when $ 3150 $ is divided by $ 105 $ ?
Answer
The quotient is 30 and the remainder is 0.
Explanation
|
Division Table
|
| | | | 0 | 0 | 3 | 0 |
| 1 | 0 | 5 | 3 | 1 | 5 | 0 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
| | | | – | 0 | | |
| | | | 3 | 1 | 5 | |
| | | – | 3 | 1 | 5 | |
| | | | | | 0 | |
| | | | | – | 0 | |
| | | | | | 0 | |
STEP 0:
set up a division table
|
| | | | | | | |
| 1 | 0 | 5 | 3 | 1 | 5 | 0 |
STEP 1: DIVIDE
3 : 105 = 0 with a remainder of 3
|
| | | | 0 | | | |
| 1 | 0 | 5 | 3 | 1 | 5 | 0 |
STEP 2: MULTIPLY
0 · 105 = 0
|
| | | | 0 | | | |
| 1 | 0 | 5 | 3 | 1 | 5 | 0 |
| | | | 0 | | | |
STEP 3: SUBTRACT
3 - 0 = 3
|
| | | | 0 | | | |
| 1 | 0 | 5 | 3 | 1 | 5 | 0 |
| | | – | 0 | | | |
| | | | 3 | | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | | |
| 1 | 0 | 5 | 3 | 1 | 5 | 0 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
STEP 5: DIVIDE
31 : 105 = 0 with a remainder of 31
|
| | | | 0 | 0 | | |
| 1 | 0 | 5 | 3 | 1 | 5 | 0 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
STEP 6: MULTIPLY
0 · 105 = 0
|
| | | | 0 | 0 | | |
| 1 | 0 | 5 | 3 | 1 | 5 | 0 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
| | | | | 0 | | |
STEP 7: SUBTRACT
31 - 0 = 31
|
| | | | 0 | 0 | | |
| 1 | 0 | 5 | 3 | 1 | 5 | 0 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
| | | | – | 0 | | |
| | | | 3 | 1 | | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | |
| 1 | 0 | 5 | 3 | 1 | 5 | 0 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
| | | | – | 0 | | |
| | | | 3 | 1 | 5 | |
STEP 9: DIVIDE
315 : 105 = 3 with a remainder of 0
|
| | | | 0 | 0 | 3 | |
| 1 | 0 | 5 | 3 | 1 | 5 | 0 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
| | | | – | 0 | | |
| | | | 3 | 1 | 5 | |
STEP 10: MULTIPLY
3 · 105 = 315
|
| | | | 0 | 0 | 3 | |
| 1 | 0 | 5 | 3 | 1 | 5 | 0 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
| | | | – | 0 | | |
| | | | 3 | 1 | 5 | |
| | | | 3 | 1 | 5 | |
STEP 11: SUBTRACT
315 - 315 = 0
|
| | | | 0 | 0 | 3 | |
| 1 | 0 | 5 | 3 | 1 | 5 | 0 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
| | | | – | 0 | | |
| | | | 3 | 1 | 5 | |
| | | – | 3 | 1 | 5 | |
| | | | | | 0 | |
|
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 3 | |
| 1 | 0 | 5 | 3 | 1 | 5 | 0 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
| | | | – | 0 | | |
| | | | 3 | 1 | 5 | |
| | | – | 3 | 1 | 5 | |
| | | | | | 0 | |
STEP 13: DIVIDE
0 : 105 = 0 with a remainder of 0
|
| | | | 0 | 0 | 3 | 0 |
| 1 | 0 | 5 | 3 | 1 | 5 | 0 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
| | | | – | 0 | | |
| | | | 3 | 1 | 5 | |
| | | – | 3 | 1 | 5 | |
| | | | | | 0 | |
STEP 14: MULTIPLY
0 · 105 = 0
|
| | | | 0 | 0 | 3 | 0 |
| 1 | 0 | 5 | 3 | 1 | 5 | 0 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
| | | | – | 0 | | |
| | | | 3 | 1 | 5 | |
| | | – | 3 | 1 | 5 | |
| | | | | | 0 | |
| | | | | | 0 | |
STEP 15: SUBTRACT
0 - 0 = 0
|
| | | | 0 | 0 | 3 | 0 |
| 1 | 0 | 5 | 3 | 1 | 5 | 0 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
| | | | – | 0 | | |
| | | | 3 | 1 | 5 | |
| | | – | 3 | 1 | 5 | |
| | | | | | 0 | |
| | | | | – | 0 | |
| | | | | | 0 | |
STEP 15: SUBTRACT
0 - 0 = 0
|
| | | | 0 | 0 | 3 | 0 |
| 1 | 0 | 5 | 3 | 1 | 5 | 0 |
| | | – | 0 | | | |
| | | | 3 | 1 | | |
| | | | – | 0 | | |
| | | | 3 | 1 | 5 | |
| | | – | 3 | 1 | 5 | |
| | | | | | 0 | |
| | | | | – | 0 | |
| | | | | | 0 | |
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