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What is the quotient and remainder when $ 8383 $ is divided by $ 73 $ ?
Answer
The quotient is 114 and the remainder is 61.
Explanation
|
Division Table
|
| | | 0 | 1 | 1 | 4 |
| 7 | 3 | 8 | 3 | 8 | 3 |
| | – | 0 | | | |
| | | 8 | 3 | | |
| | – | 7 | 3 | | |
| | | 1 | 0 | 8 | |
| | | – | 7 | 3 | |
| | | | 3 | 5 | 3 |
| | | – | 2 | 9 | 2 |
| | | | | 6 | 1 |
STEP 0:
set up a division table
|
| | | | | | |
| 7 | 3 | 8 | 3 | 8 | 3 |
STEP 1: DIVIDE
8 : 73 = 0 with a remainder of 8
|
| | | 0 | | | |
| 7 | 3 | 8 | 3 | 8 | 3 |
STEP 2: MULTIPLY
0 · 73 = 0
|
| | | 0 | | | |
| 7 | 3 | 8 | 3 | 8 | 3 |
| | | 0 | | | |
STEP 3: SUBTRACT
8 - 0 = 8
|
| | | 0 | | | |
| 7 | 3 | 8 | 3 | 8 | 3 |
| | – | 0 | | | |
| | | 8 | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | |
| 7 | 3 | 8 | 3 | 8 | 3 |
| | – | 0 | | | |
| | | 8 | 3 | | |
STEP 5: DIVIDE
83 : 73 = 1 with a remainder of 10
|
| | | 0 | 1 | | |
| 7 | 3 | 8 | 3 | 8 | 3 |
| | – | 0 | | | |
| | | 8 | 3 | | |
STEP 6: MULTIPLY
1 · 73 = 73
|
| | | 0 | 1 | | |
| 7 | 3 | 8 | 3 | 8 | 3 |
| | – | 0 | | | |
| | | 8 | 3 | | |
| | | 7 | 3 | | |
STEP 7: SUBTRACT
83 - 73 = 10
|
| | | 0 | 1 | | |
| 7 | 3 | 8 | 3 | 8 | 3 |
| | – | 0 | | | |
| | | 8 | 3 | | |
| | – | 7 | 3 | | |
| | | 1 | 0 | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 1 | | |
| 7 | 3 | 8 | 3 | 8 | 3 |
| | – | 0 | | | |
| | | 8 | 3 | | |
| | – | 7 | 3 | | |
| | | 1 | 0 | 8 | |
STEP 9: DIVIDE
108 : 73 = 1 with a remainder of 35
|
| | | 0 | 1 | 1 | |
| 7 | 3 | 8 | 3 | 8 | 3 |
| | – | 0 | | | |
| | | 8 | 3 | | |
| | – | 7 | 3 | | |
| | | 1 | 0 | 8 | |
STEP 10: MULTIPLY
1 · 73 = 73
|
| | | 0 | 1 | 1 | |
| 7 | 3 | 8 | 3 | 8 | 3 |
| | – | 0 | | | |
| | | 8 | 3 | | |
| | – | 7 | 3 | | |
| | | 1 | 0 | 8 | |
| | | | 7 | 3 | |
STEP 11: SUBTRACT
108 - 73 = 35
|
| | | 0 | 1 | 1 | |
| 7 | 3 | 8 | 3 | 8 | 3 |
| | – | 0 | | | |
| | | 8 | 3 | | |
| | – | 7 | 3 | | |
| | | 1 | 0 | 8 | |
| | | – | 7 | 3 | |
| | | | 3 | 5 | |
|
STEP 12: BRING DOWN
|
| | | 0 | 1 | 1 | |
| 7 | 3 | 8 | 3 | 8 | 3 |
| | – | 0 | | | |
| | | 8 | 3 | | |
| | – | 7 | 3 | | |
| | | 1 | 0 | 8 | |
| | | – | 7 | 3 | |
| | | | 3 | 5 | 3 |
STEP 13: DIVIDE
353 : 73 = 4 with a remainder of 61
|
| | | 0 | 1 | 1 | 4 |
| 7 | 3 | 8 | 3 | 8 | 3 |
| | – | 0 | | | |
| | | 8 | 3 | | |
| | – | 7 | 3 | | |
| | | 1 | 0 | 8 | |
| | | – | 7 | 3 | |
| | | | 3 | 5 | 3 |
STEP 14: MULTIPLY
4 · 73 = 292
|
| | | 0 | 1 | 1 | 4 |
| 7 | 3 | 8 | 3 | 8 | 3 |
| | – | 0 | | | |
| | | 8 | 3 | | |
| | – | 7 | 3 | | |
| | | 1 | 0 | 8 | |
| | | – | 7 | 3 | |
| | | | 3 | 5 | 3 |
| | | | 2 | 9 | 2 |
STEP 15: SUBTRACT
353 - 292 = 61
|
| | | 0 | 1 | 1 | 4 |
| 7 | 3 | 8 | 3 | 8 | 3 |
| | – | 0 | | | |
| | | 8 | 3 | | |
| | – | 7 | 3 | | |
| | | 1 | 0 | 8 | |
| | | – | 7 | 3 | |
| | | | 3 | 5 | 3 |
| | | – | 2 | 9 | 2 |
| | | | | 6 | 1 |
STEP 15: SUBTRACT
353 - 292 = 61
|
| | | 0 | 1 | 1 | 4 |
| 7 | 3 | 8 | 3 | 8 | 3 |
| | – | 0 | | | |
| | | 8 | 3 | | |
| | – | 7 | 3 | | |
| | | 1 | 0 | 8 | |
| | | – | 7 | 3 | |
| | | | 3 | 5 | 3 |
| | | – | 2 | 9 | 2 |
| | | | | 6 | 1 |
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