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Question
What is the quotient and remainder when $ 20058 $ is divided by $ 80 $ ?
Answer
The quotient is 250 and the remainder is 58.
Explanation
|
Division Table
|
| | | 0 | 0 | 2 | 5 | 0 |
| 8 | 0 | 2 | 0 | 0 | 5 | 8 |
| | – | 0 | | | | |
| | | 2 | 0 | | | |
| | | – | 0 | | | |
| | | 2 | 0 | 0 | | |
| | – | 1 | 6 | 0 | | |
| | | | 4 | 0 | 5 | |
| | | – | 4 | 0 | 0 | |
| | | | | | 5 | 8 |
| | | | | | – | 0 |
| | | | | | 5 | 8 |
STEP 0: set up a division table
|
| | | | | | | |
| 8 | 0 | 2 | 0 | 0 | 5 | 8 |
STEP 1: DIVIDE 2 : 80 = 0 with a remainder of 2
|
| | | 0 | | | | |
| 8 | 0 | 2 | 0 | 0 | 5 | 8 |
STEP 2: MULTIPLY 0 · 80 = 0
|
| | | 0 | | | | |
| 8 | 0 | 2 | 0 | 0 | 5 | 8 |
| | | 0 | | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | | 0 | | | | |
| 8 | 0 | 2 | 0 | 0 | 5 | 8 |
| | – | 0 | | | | |
| | | 2 | | | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | | | |
| 8 | 0 | 2 | 0 | 0 | 5 | 8 |
| | – | 0 | | | | |
| | | 2 | 0 | | | |
STEP 5: DIVIDE 20 : 80 = 0 with a remainder of 20
|
| | | 0 | 0 | | | |
| 8 | 0 | 2 | 0 | 0 | 5 | 8 |
| | – | 0 | | | | |
| | | 2 | 0 | | | |
STEP 6: MULTIPLY 0 · 80 = 0
|
| | | 0 | 0 | | | |
| 8 | 0 | 2 | 0 | 0 | 5 | 8 |
| | – | 0 | | | | |
| | | 2 | 0 | | | |
| | | | 0 | | | |
STEP 7: SUBTRACT 20 - 0 = 20
|
| | | 0 | 0 | | | |
| 8 | 0 | 2 | 0 | 0 | 5 | 8 |
| | – | 0 | | | | |
| | | 2 | 0 | | | |
| | | – | 0 | | | |
| | | 2 | 0 | | | |
|
STEP 8: BRING DOWN
|
| | | 0 | 0 | | | |
| 8 | 0 | 2 | 0 | 0 | 5 | 8 |
| | – | 0 | | | | |
| | | 2 | 0 | | | |
| | | – | 0 | | | |
| | | 2 | 0 | 0 | | |
STEP 9: DIVIDE 200 : 80 = 2 with a remainder of 40
|
| | | 0 | 0 | 2 | | |
| 8 | 0 | 2 | 0 | 0 | 5 | 8 |
| | – | 0 | | | | |
| | | 2 | 0 | | | |
| | | – | 0 | | | |
| | | 2 | 0 | 0 | | |
STEP 10: MULTIPLY 2 · 80 = 160
|
| | | 0 | 0 | 2 | | |
| 8 | 0 | 2 | 0 | 0 | 5 | 8 |
| | – | 0 | | | | |
| | | 2 | 0 | | | |
| | | – | 0 | | | |
| | | 2 | 0 | 0 | | |
| | | 1 | 6 | 0 | | |
STEP 11: SUBTRACT 200 - 160 = 40
|
| | | 0 | 0 | 2 | | |
| 8 | 0 | 2 | 0 | 0 | 5 | 8 |
| | – | 0 | | | | |
| | | 2 | 0 | | | |
| | | – | 0 | | | |
| | | 2 | 0 | 0 | | |
| | – | 1 | 6 | 0 | | |
| | | | 4 | 0 | | |
|
STEP 12: BRING DOWN
|
| | | 0 | 0 | 2 | | |
| 8 | 0 | 2 | 0 | 0 | 5 | 8 |
| | – | 0 | | | | |
| | | 2 | 0 | | | |
| | | – | 0 | | | |
| | | 2 | 0 | 0 | | |
| | – | 1 | 6 | 0 | | |
| | | | 4 | 0 | 5 | |
STEP 13: DIVIDE 405 : 80 = 5 with a remainder of 5
|
| | | 0 | 0 | 2 | 5 | |
| 8 | 0 | 2 | 0 | 0 | 5 | 8 |
| | – | 0 | | | | |
| | | 2 | 0 | | | |
| | | – | 0 | | | |
| | | 2 | 0 | 0 | | |
| | – | 1 | 6 | 0 | | |
| | | | 4 | 0 | 5 | |
STEP 14: MULTIPLY 5 · 80 = 400
|
| | | 0 | 0 | 2 | 5 | |
| 8 | 0 | 2 | 0 | 0 | 5 | 8 |
| | – | 0 | | | | |
| | | 2 | 0 | | | |
| | | – | 0 | | | |
| | | 2 | 0 | 0 | | |
| | – | 1 | 6 | 0 | | |
| | | | 4 | 0 | 5 | |
| | | | 4 | 0 | 0 | |
STEP 15: SUBTRACT 405 - 400 = 5
|
| | | 0 | 0 | 2 | 5 | |
| 8 | 0 | 2 | 0 | 0 | 5 | 8 |
| | – | 0 | | | | |
| | | 2 | 0 | | | |
| | | – | 0 | | | |
| | | 2 | 0 | 0 | | |
| | – | 1 | 6 | 0 | | |
| | | | 4 | 0 | 5 | |
| | | – | 4 | 0 | 0 | |
| | | | | | 5 | |
|
STEP 16: BRING DOWN
|
| | | 0 | 0 | 2 | 5 | |
| 8 | 0 | 2 | 0 | 0 | 5 | 8 |
| | – | 0 | | | | |
| | | 2 | 0 | | | |
| | | – | 0 | | | |
| | | 2 | 0 | 0 | | |
| | – | 1 | 6 | 0 | | |
| | | | 4 | 0 | 5 | |
| | | – | 4 | 0 | 0 | |
| | | | | | 5 | 8 |
STEP 17: DIVIDE 58 : 80 = 0 with a remainder of 58
|
| | | 0 | 0 | 2 | 5 | 0 |
| 8 | 0 | 2 | 0 | 0 | 5 | 8 |
| | – | 0 | | | | |
| | | 2 | 0 | | | |
| | | – | 0 | | | |
| | | 2 | 0 | 0 | | |
| | – | 1 | 6 | 0 | | |
| | | | 4 | 0 | 5 | |
| | | – | 4 | 0 | 0 | |
| | | | | | 5 | 8 |
STEP 18: MULTIPLY 0 · 80 = 0
|
| | | 0 | 0 | 2 | 5 | 0 |
| 8 | 0 | 2 | 0 | 0 | 5 | 8 |
| | – | 0 | | | | |
| | | 2 | 0 | | | |
| | | – | 0 | | | |
| | | 2 | 0 | 0 | | |
| | – | 1 | 6 | 0 | | |
| | | | 4 | 0 | 5 | |
| | | – | 4 | 0 | 0 | |
| | | | | | 5 | 8 |
| | | | | | | 0 |
STEP 19: SUBTRACT 58 - 0 = 58
|
| | | 0 | 0 | 2 | 5 | 0 |
| 8 | 0 | 2 | 0 | 0 | 5 | 8 |
| | – | 0 | | | | |
| | | 2 | 0 | | | |
| | | – | 0 | | | |
| | | 2 | 0 | 0 | | |
| | – | 1 | 6 | 0 | | |
| | | | 4 | 0 | 5 | |
| | | – | 4 | 0 | 0 | |
| | | | | | 5 | 8 |
| | | | | | – | 0 |
| | | | | | 5 | 8 |
STEP 19: SUBTRACT 58 - 0 = 58
|
| | | 0 | 0 | 2 | 5 | 0 |
| 8 | 0 | 2 | 0 | 0 | 5 | 8 |
| | – | 0 | | | | |
| | | 2 | 0 | | | |
| | | – | 0 | | | |
| | | 2 | 0 | 0 | | |
| | – | 1 | 6 | 0 | | |
| | | | 4 | 0 | 5 | |
| | | – | 4 | 0 | 0 | |
| | | | | | 5 | 8 |
| | | | | | – | 0 |
| | | | | | 5 | 8 |
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