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What is the quotient and remainder when $ 380389 $ is divided by $ 83 $ ?
Answer
The quotient is 4583 and the remainder is 0.
Explanation
|
Division Table
|
| | | 0 | 0 | 4 | 5 | 8 | 3 |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
| | – | 0 | | | | | |
| | | 3 | 8 | | | | |
| | | – | 0 | | | | |
| | | 3 | 8 | 0 | | | |
| | – | 3 | 3 | 2 | | | |
| | | | 4 | 8 | 3 | | |
| | | – | 4 | 1 | 5 | | |
| | | | | 6 | 8 | 8 | |
| | | | – | 6 | 6 | 4 | |
| | | | | | 2 | 4 | 9 |
| | | | | – | 2 | 4 | 9 |
| | | | | | | | 0 |
STEP 0:
set up a division table
|
| | | | | | | | |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
STEP 1: DIVIDE
3 : 83 = 0 with a remainder of 3
|
| | | 0 | | | | | |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
STEP 2: MULTIPLY
0 · 83 = 0
|
| | | 0 | | | | | |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
| | | 0 | | | | | |
STEP 3: SUBTRACT
3 - 0 = 3
|
| | | 0 | | | | | |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
| | – | 0 | | | | | |
| | | 3 | | | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | | | |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
| | – | 0 | | | | | |
| | | 3 | 8 | | | | |
STEP 5: DIVIDE
38 : 83 = 0 with a remainder of 38
|
| | | 0 | 0 | | | | |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
| | – | 0 | | | | | |
| | | 3 | 8 | | | | |
STEP 6: MULTIPLY
0 · 83 = 0
|
| | | 0 | 0 | | | | |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
| | – | 0 | | | | | |
| | | 3 | 8 | | | | |
| | | | 0 | | | | |
STEP 7: SUBTRACT
38 - 0 = 38
|
| | | 0 | 0 | | | | |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
| | – | 0 | | | | | |
| | | 3 | 8 | | | | |
| | | – | 0 | | | | |
| | | 3 | 8 | | | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | | | |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
| | – | 0 | | | | | |
| | | 3 | 8 | | | | |
| | | – | 0 | | | | |
| | | 3 | 8 | 0 | | | |
STEP 9: DIVIDE
380 : 83 = 4 with a remainder of 48
|
| | | 0 | 0 | 4 | | | |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
| | – | 0 | | | | | |
| | | 3 | 8 | | | | |
| | | – | 0 | | | | |
| | | 3 | 8 | 0 | | | |
STEP 10: MULTIPLY
4 · 83 = 332
|
| | | 0 | 0 | 4 | | | |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
| | – | 0 | | | | | |
| | | 3 | 8 | | | | |
| | | – | 0 | | | | |
| | | 3 | 8 | 0 | | | |
| | | 3 | 3 | 2 | | | |
STEP 11: SUBTRACT
380 - 332 = 48
|
| | | 0 | 0 | 4 | | | |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
| | – | 0 | | | | | |
| | | 3 | 8 | | | | |
| | | – | 0 | | | | |
| | | 3 | 8 | 0 | | | |
| | – | 3 | 3 | 2 | | | |
| | | | 4 | 8 | | | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 4 | | | |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
| | – | 0 | | | | | |
| | | 3 | 8 | | | | |
| | | – | 0 | | | | |
| | | 3 | 8 | 0 | | | |
| | – | 3 | 3 | 2 | | | |
| | | | 4 | 8 | 3 | | |
STEP 13: DIVIDE
483 : 83 = 5 with a remainder of 68
|
| | | 0 | 0 | 4 | 5 | | |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
| | – | 0 | | | | | |
| | | 3 | 8 | | | | |
| | | – | 0 | | | | |
| | | 3 | 8 | 0 | | | |
| | – | 3 | 3 | 2 | | | |
| | | | 4 | 8 | 3 | | |
STEP 14: MULTIPLY
5 · 83 = 415
|
| | | 0 | 0 | 4 | 5 | | |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
| | – | 0 | | | | | |
| | | 3 | 8 | | | | |
| | | – | 0 | | | | |
| | | 3 | 8 | 0 | | | |
| | – | 3 | 3 | 2 | | | |
| | | | 4 | 8 | 3 | | |
| | | | 4 | 1 | 5 | | |
STEP 15: SUBTRACT
483 - 415 = 68
|
| | | 0 | 0 | 4 | 5 | | |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
| | – | 0 | | | | | |
| | | 3 | 8 | | | | |
| | | – | 0 | | | | |
| | | 3 | 8 | 0 | | | |
| | – | 3 | 3 | 2 | | | |
| | | | 4 | 8 | 3 | | |
| | | – | 4 | 1 | 5 | | |
| | | | | 6 | 8 | | |
|
STEP 16: BRING DOWN
|
| | | 0 | 0 | 4 | 5 | | |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
| | – | 0 | | | | | |
| | | 3 | 8 | | | | |
| | | – | 0 | | | | |
| | | 3 | 8 | 0 | | | |
| | – | 3 | 3 | 2 | | | |
| | | | 4 | 8 | 3 | | |
| | | – | 4 | 1 | 5 | | |
| | | | | 6 | 8 | 8 | |
STEP 17: DIVIDE
688 : 83 = 8 with a remainder of 24
|
| | | 0 | 0 | 4 | 5 | 8 | |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
| | – | 0 | | | | | |
| | | 3 | 8 | | | | |
| | | – | 0 | | | | |
| | | 3 | 8 | 0 | | | |
| | – | 3 | 3 | 2 | | | |
| | | | 4 | 8 | 3 | | |
| | | – | 4 | 1 | 5 | | |
| | | | | 6 | 8 | 8 | |
STEP 18: MULTIPLY
8 · 83 = 664
|
| | | 0 | 0 | 4 | 5 | 8 | |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
| | – | 0 | | | | | |
| | | 3 | 8 | | | | |
| | | – | 0 | | | | |
| | | 3 | 8 | 0 | | | |
| | – | 3 | 3 | 2 | | | |
| | | | 4 | 8 | 3 | | |
| | | – | 4 | 1 | 5 | | |
| | | | | 6 | 8 | 8 | |
| | | | | 6 | 6 | 4 | |
STEP 19: SUBTRACT
688 - 664 = 24
|
| | | 0 | 0 | 4 | 5 | 8 | |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
| | – | 0 | | | | | |
| | | 3 | 8 | | | | |
| | | – | 0 | | | | |
| | | 3 | 8 | 0 | | | |
| | – | 3 | 3 | 2 | | | |
| | | | 4 | 8 | 3 | | |
| | | – | 4 | 1 | 5 | | |
| | | | | 6 | 8 | 8 | |
| | | | – | 6 | 6 | 4 | |
| | | | | | 2 | 4 | |
|
STEP 20: BRING DOWN
|
| | | 0 | 0 | 4 | 5 | 8 | |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
| | – | 0 | | | | | |
| | | 3 | 8 | | | | |
| | | – | 0 | | | | |
| | | 3 | 8 | 0 | | | |
| | – | 3 | 3 | 2 | | | |
| | | | 4 | 8 | 3 | | |
| | | – | 4 | 1 | 5 | | |
| | | | | 6 | 8 | 8 | |
| | | | – | 6 | 6 | 4 | |
| | | | | | 2 | 4 | 9 |
STEP 21: DIVIDE
249 : 83 = 3 with a remainder of 0
|
| | | 0 | 0 | 4 | 5 | 8 | 3 |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
| | – | 0 | | | | | |
| | | 3 | 8 | | | | |
| | | – | 0 | | | | |
| | | 3 | 8 | 0 | | | |
| | – | 3 | 3 | 2 | | | |
| | | | 4 | 8 | 3 | | |
| | | – | 4 | 1 | 5 | | |
| | | | | 6 | 8 | 8 | |
| | | | – | 6 | 6 | 4 | |
| | | | | | 2 | 4 | 9 |
STEP 22: MULTIPLY
3 · 83 = 249
|
| | | 0 | 0 | 4 | 5 | 8 | 3 |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
| | – | 0 | | | | | |
| | | 3 | 8 | | | | |
| | | – | 0 | | | | |
| | | 3 | 8 | 0 | | | |
| | – | 3 | 3 | 2 | | | |
| | | | 4 | 8 | 3 | | |
| | | – | 4 | 1 | 5 | | |
| | | | | 6 | 8 | 8 | |
| | | | – | 6 | 6 | 4 | |
| | | | | | 2 | 4 | 9 |
| | | | | | 2 | 4 | 9 |
STEP 23: SUBTRACT
249 - 249 = 0
|
| | | 0 | 0 | 4 | 5 | 8 | 3 |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
| | – | 0 | | | | | |
| | | 3 | 8 | | | | |
| | | – | 0 | | | | |
| | | 3 | 8 | 0 | | | |
| | – | 3 | 3 | 2 | | | |
| | | | 4 | 8 | 3 | | |
| | | – | 4 | 1 | 5 | | |
| | | | | 6 | 8 | 8 | |
| | | | – | 6 | 6 | 4 | |
| | | | | | 2 | 4 | 9 |
| | | | | – | 2 | 4 | 9 |
| | | | | | | | 0 |
STEP 23: SUBTRACT
249 - 249 = 0
|
| | | 0 | 0 | 4 | 5 | 8 | 3 |
| 8 | 3 | 3 | 8 | 0 | 3 | 8 | 9 |
| | – | 0 | | | | | |
| | | 3 | 8 | | | | |
| | | – | 0 | | | | |
| | | 3 | 8 | 0 | | | |
| | – | 3 | 3 | 2 | | | |
| | | | 4 | 8 | 3 | | |
| | | – | 4 | 1 | 5 | | |
| | | | | 6 | 8 | 8 | |
| | | | – | 6 | 6 | 4 | |
| | | | | | 2 | 4 | 9 |
| | | | | – | 2 | 4 | 9 |
| | | | | | | | 0 |
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