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What is the quotient and remainder when $ 88532 $ is divided by $ 83 $ ?
Answer
The quotient is 1066 and the remainder is 54.
Explanation
|
Division Table
|
| | | 0 | 1 | 0 | 6 | 6 |
| 8 | 3 | 8 | 8 | 5 | 3 | 2 |
| | – | 0 | | | | |
| | | 8 | 8 | | | |
| | – | 8 | 3 | | | |
| | | | 5 | 5 | | |
| | | | – | 0 | | |
| | | | 5 | 5 | 3 | |
| | | – | 4 | 9 | 8 | |
| | | | | 5 | 5 | 2 |
| | | | – | 4 | 9 | 8 |
| | | | | | 5 | 4 |
STEP 0:
set up a division table
|
| | | | | | | |
| 8 | 3 | 8 | 8 | 5 | 3 | 2 |
STEP 1: DIVIDE
8 : 83 = 0 with a remainder of 8
|
| | | 0 | | | | |
| 8 | 3 | 8 | 8 | 5 | 3 | 2 |
STEP 2: MULTIPLY
0 · 83 = 0
|
| | | 0 | | | | |
| 8 | 3 | 8 | 8 | 5 | 3 | 2 |
| | | 0 | | | | |
STEP 3: SUBTRACT
8 - 0 = 8
|
| | | 0 | | | | |
| 8 | 3 | 8 | 8 | 5 | 3 | 2 |
| | – | 0 | | | | |
| | | 8 | | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | | |
| 8 | 3 | 8 | 8 | 5 | 3 | 2 |
| | – | 0 | | | | |
| | | 8 | 8 | | | |
STEP 5: DIVIDE
88 : 83 = 1 with a remainder of 5
|
| | | 0 | 1 | | | |
| 8 | 3 | 8 | 8 | 5 | 3 | 2 |
| | – | 0 | | | | |
| | | 8 | 8 | | | |
STEP 6: MULTIPLY
1 · 83 = 83
|
| | | 0 | 1 | | | |
| 8 | 3 | 8 | 8 | 5 | 3 | 2 |
| | – | 0 | | | | |
| | | 8 | 8 | | | |
| | | 8 | 3 | | | |
STEP 7: SUBTRACT
88 - 83 = 5
|
| | | 0 | 1 | | | |
| 8 | 3 | 8 | 8 | 5 | 3 | 2 |
| | – | 0 | | | | |
| | | 8 | 8 | | | |
| | – | 8 | 3 | | | |
| | | | 5 | | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | | | |
| 8 | 3 | 8 | 8 | 5 | 3 | 2 |
| | – | 0 | | | | |
| | | 8 | 8 | | | |
| | – | 8 | 3 | | | |
| | | | 5 | 5 | | |
STEP 9: DIVIDE
55 : 83 = 0 with a remainder of 55
|
| | | 0 | 1 | 0 | | |
| 8 | 3 | 8 | 8 | 5 | 3 | 2 |
| | – | 0 | | | | |
| | | 8 | 8 | | | |
| | – | 8 | 3 | | | |
| | | | 5 | 5 | | |
STEP 10: MULTIPLY
0 · 83 = 0
|
| | | 0 | 1 | 0 | | |
| 8 | 3 | 8 | 8 | 5 | 3 | 2 |
| | – | 0 | | | | |
| | | 8 | 8 | | | |
| | – | 8 | 3 | | | |
| | | | 5 | 5 | | |
| | | | | 0 | | |
STEP 11: SUBTRACT
55 - 0 = 55
|
| | | 0 | 1 | 0 | | |
| 8 | 3 | 8 | 8 | 5 | 3 | 2 |
| | – | 0 | | | | |
| | | 8 | 8 | | | |
| | – | 8 | 3 | | | |
| | | | 5 | 5 | | |
| | | | – | 0 | | |
| | | | 5 | 5 | | |
|
STEP 12: BRING DOWN
|
| | | 0 | 1 | 0 | | |
| 8 | 3 | 8 | 8 | 5 | 3 | 2 |
| | – | 0 | | | | |
| | | 8 | 8 | | | |
| | – | 8 | 3 | | | |
| | | | 5 | 5 | | |
| | | | – | 0 | | |
| | | | 5 | 5 | 3 | |
STEP 13: DIVIDE
553 : 83 = 6 with a remainder of 55
|
| | | 0 | 1 | 0 | 6 | |
| 8 | 3 | 8 | 8 | 5 | 3 | 2 |
| | – | 0 | | | | |
| | | 8 | 8 | | | |
| | – | 8 | 3 | | | |
| | | | 5 | 5 | | |
| | | | – | 0 | | |
| | | | 5 | 5 | 3 | |
STEP 14: MULTIPLY
6 · 83 = 498
|
| | | 0 | 1 | 0 | 6 | |
| 8 | 3 | 8 | 8 | 5 | 3 | 2 |
| | – | 0 | | | | |
| | | 8 | 8 | | | |
| | – | 8 | 3 | | | |
| | | | 5 | 5 | | |
| | | | – | 0 | | |
| | | | 5 | 5 | 3 | |
| | | | 4 | 9 | 8 | |
STEP 15: SUBTRACT
553 - 498 = 55
|
| | | 0 | 1 | 0 | 6 | |
| 8 | 3 | 8 | 8 | 5 | 3 | 2 |
| | – | 0 | | | | |
| | | 8 | 8 | | | |
| | – | 8 | 3 | | | |
| | | | 5 | 5 | | |
| | | | – | 0 | | |
| | | | 5 | 5 | 3 | |
| | | – | 4 | 9 | 8 | |
| | | | | 5 | 5 | |
|
STEP 16: BRING DOWN
|
| | | 0 | 1 | 0 | 6 | |
| 8 | 3 | 8 | 8 | 5 | 3 | 2 |
| | – | 0 | | | | |
| | | 8 | 8 | | | |
| | – | 8 | 3 | | | |
| | | | 5 | 5 | | |
| | | | – | 0 | | |
| | | | 5 | 5 | 3 | |
| | | – | 4 | 9 | 8 | |
| | | | | 5 | 5 | 2 |
STEP 17: DIVIDE
552 : 83 = 6 with a remainder of 54
|
| | | 0 | 1 | 0 | 6 | 6 |
| 8 | 3 | 8 | 8 | 5 | 3 | 2 |
| | – | 0 | | | | |
| | | 8 | 8 | | | |
| | – | 8 | 3 | | | |
| | | | 5 | 5 | | |
| | | | – | 0 | | |
| | | | 5 | 5 | 3 | |
| | | – | 4 | 9 | 8 | |
| | | | | 5 | 5 | 2 |
STEP 18: MULTIPLY
6 · 83 = 498
|
| | | 0 | 1 | 0 | 6 | 6 |
| 8 | 3 | 8 | 8 | 5 | 3 | 2 |
| | – | 0 | | | | |
| | | 8 | 8 | | | |
| | – | 8 | 3 | | | |
| | | | 5 | 5 | | |
| | | | – | 0 | | |
| | | | 5 | 5 | 3 | |
| | | – | 4 | 9 | 8 | |
| | | | | 5 | 5 | 2 |
| | | | | 4 | 9 | 8 |
STEP 19: SUBTRACT
552 - 498 = 54
|
| | | 0 | 1 | 0 | 6 | 6 |
| 8 | 3 | 8 | 8 | 5 | 3 | 2 |
| | – | 0 | | | | |
| | | 8 | 8 | | | |
| | – | 8 | 3 | | | |
| | | | 5 | 5 | | |
| | | | – | 0 | | |
| | | | 5 | 5 | 3 | |
| | | – | 4 | 9 | 8 | |
| | | | | 5 | 5 | 2 |
| | | | – | 4 | 9 | 8 |
| | | | | | 5 | 4 |
STEP 19: SUBTRACT
552 - 498 = 54
|
| | | 0 | 1 | 0 | 6 | 6 |
| 8 | 3 | 8 | 8 | 5 | 3 | 2 |
| | – | 0 | | | | |
| | | 8 | 8 | | | |
| | – | 8 | 3 | | | |
| | | | 5 | 5 | | |
| | | | – | 0 | | |
| | | | 5 | 5 | 3 | |
| | | – | 4 | 9 | 8 | |
| | | | | 5 | 5 | 2 |
| | | | – | 4 | 9 | 8 |
| | | | | | 5 | 4 |
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