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Question
What is the quotient and remainder when $ 11160 $ is divided by $ 180 $ ?
Answer
The quotient is 62 and the remainder is 0.
Explanation
Division Table
|
| | | 0 | 0 | 0 | 6 | 2 |
1 | 8 | 0 | 1 | 1 | 1 | 6 | 0 |
| | – | 0 | | | | |
| | | 1 | 1 | | | |
| | | – | 0 | | | |
| | | 1 | 1 | 1 | | |
| | | | – | 0 | | |
| | | 1 | 1 | 1 | 6 | |
| | – | 1 | 0 | 8 | 0 | |
| | | | | 3 | 6 | 0 |
| | | | – | 3 | 6 | 0 |
| | | | | | | 0 |
STEP 0: set up a division table
|
| | | | | | | |
1 | 8 | 0 | 1 | 1 | 1 | 6 | 0 |
STEP 1: DIVIDE 1 : 180 = 0 with a remainder of 1
|
| | | 0 | | | | |
1 | 8 | 0 | 1 | 1 | 1 | 6 | 0 |
STEP 2: MULTIPLY 0 · 180 = 0
|
| | | 0 | | | | |
1 | 8 | 0 | 1 | 1 | 1 | 6 | 0 |
| | | 0 | | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | | 0 | | | | |
1 | 8 | 0 | 1 | 1 | 1 | 6 | 0 |
| | – | 0 | | | | |
| | | 1 | | | | |
STEP 4: BRING DOWN
|
| | | 0 | | | | |
1 | 8 | 0 | 1 | 1 | 1 | 6 | 0 |
| | – | 0 | | | | |
| | | 1 | 1 | | | |
STEP 5: DIVIDE 11 : 180 = 0 with a remainder of 11
|
| | | 0 | 0 | | | |
1 | 8 | 0 | 1 | 1 | 1 | 6 | 0 |
| | – | 0 | | | | |
| | | 1 | 1 | | | |
STEP 6: MULTIPLY 0 · 180 = 0
|
| | | 0 | 0 | | | |
1 | 8 | 0 | 1 | 1 | 1 | 6 | 0 |
| | – | 0 | | | | |
| | | 1 | 1 | | | |
| | | | 0 | | | |
STEP 7: SUBTRACT 11 - 0 = 11
|
| | | 0 | 0 | | | |
1 | 8 | 0 | 1 | 1 | 1 | 6 | 0 |
| | – | 0 | | | | |
| | | 1 | 1 | | | |
| | | – | 0 | | | |
| | | 1 | 1 | | | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | | | |
1 | 8 | 0 | 1 | 1 | 1 | 6 | 0 |
| | – | 0 | | | | |
| | | 1 | 1 | | | |
| | | – | 0 | | | |
| | | 1 | 1 | 1 | | |
STEP 9: DIVIDE 111 : 180 = 0 with a remainder of 111
|
| | | 0 | 0 | 0 | | |
1 | 8 | 0 | 1 | 1 | 1 | 6 | 0 |
| | – | 0 | | | | |
| | | 1 | 1 | | | |
| | | – | 0 | | | |
| | | 1 | 1 | 1 | | |
STEP 10: MULTIPLY 0 · 180 = 0
|
| | | 0 | 0 | 0 | | |
1 | 8 | 0 | 1 | 1 | 1 | 6 | 0 |
| | – | 0 | | | | |
| | | 1 | 1 | | | |
| | | – | 0 | | | |
| | | 1 | 1 | 1 | | |
| | | | | 0 | | |
STEP 11: SUBTRACT 111 - 0 = 111
|
| | | 0 | 0 | 0 | | |
1 | 8 | 0 | 1 | 1 | 1 | 6 | 0 |
| | – | 0 | | | | |
| | | 1 | 1 | | | |
| | | – | 0 | | | |
| | | 1 | 1 | 1 | | |
| | | | – | 0 | | |
| | | 1 | 1 | 1 | | |
STEP 12: BRING DOWN
|
| | | 0 | 0 | 0 | | |
1 | 8 | 0 | 1 | 1 | 1 | 6 | 0 |
| | – | 0 | | | | |
| | | 1 | 1 | | | |
| | | – | 0 | | | |
| | | 1 | 1 | 1 | | |
| | | | – | 0 | | |
| | | 1 | 1 | 1 | 6 | |
STEP 13: DIVIDE 1116 : 180 = 6 with a remainder of 36
|
| | | 0 | 0 | 0 | 6 | |
1 | 8 | 0 | 1 | 1 | 1 | 6 | 0 |
| | – | 0 | | | | |
| | | 1 | 1 | | | |
| | | – | 0 | | | |
| | | 1 | 1 | 1 | | |
| | | | – | 0 | | |
| | | 1 | 1 | 1 | 6 | |
STEP 14: MULTIPLY 6 · 180 = 1080
|
| | | 0 | 0 | 0 | 6 | |
1 | 8 | 0 | 1 | 1 | 1 | 6 | 0 |
| | – | 0 | | | | |
| | | 1 | 1 | | | |
| | | – | 0 | | | |
| | | 1 | 1 | 1 | | |
| | | | – | 0 | | |
| | | 1 | 1 | 1 | 6 | |
| | | 1 | 0 | 8 | 0 | |
STEP 15: SUBTRACT 1116 - 1080 = 36
|
| | | 0 | 0 | 0 | 6 | |
1 | 8 | 0 | 1 | 1 | 1 | 6 | 0 |
| | – | 0 | | | | |
| | | 1 | 1 | | | |
| | | – | 0 | | | |
| | | 1 | 1 | 1 | | |
| | | | – | 0 | | |
| | | 1 | 1 | 1 | 6 | |
| | – | 1 | 0 | 8 | 0 | |
| | | | | 3 | 6 | |
STEP 16: BRING DOWN
|
| | | 0 | 0 | 0 | 6 | |
1 | 8 | 0 | 1 | 1 | 1 | 6 | 0 |
| | – | 0 | | | | |
| | | 1 | 1 | | | |
| | | – | 0 | | | |
| | | 1 | 1 | 1 | | |
| | | | – | 0 | | |
| | | 1 | 1 | 1 | 6 | |
| | – | 1 | 0 | 8 | 0 | |
| | | | | 3 | 6 | 0 |
STEP 17: DIVIDE 360 : 180 = 2 with a remainder of 0
|
| | | 0 | 0 | 0 | 6 | 2 |
1 | 8 | 0 | 1 | 1 | 1 | 6 | 0 |
| | – | 0 | | | | |
| | | 1 | 1 | | | |
| | | – | 0 | | | |
| | | 1 | 1 | 1 | | |
| | | | – | 0 | | |
| | | 1 | 1 | 1 | 6 | |
| | – | 1 | 0 | 8 | 0 | |
| | | | | 3 | 6 | 0 |
STEP 18: MULTIPLY 2 · 180 = 360
|
| | | 0 | 0 | 0 | 6 | 2 |
1 | 8 | 0 | 1 | 1 | 1 | 6 | 0 |
| | – | 0 | | | | |
| | | 1 | 1 | | | |
| | | – | 0 | | | |
| | | 1 | 1 | 1 | | |
| | | | – | 0 | | |
| | | 1 | 1 | 1 | 6 | |
| | – | 1 | 0 | 8 | 0 | |
| | | | | 3 | 6 | 0 |
| | | | | 3 | 6 | 0 |
STEP 19: SUBTRACT 360 - 360 = 0
|
| | | 0 | 0 | 0 | 6 | 2 |
1 | 8 | 0 | 1 | 1 | 1 | 6 | 0 |
| | – | 0 | | | | |
| | | 1 | 1 | | | |
| | | – | 0 | | | |
| | | 1 | 1 | 1 | | |
| | | | – | 0 | | |
| | | 1 | 1 | 1 | 6 | |
| | – | 1 | 0 | 8 | 0 | |
| | | | | 3 | 6 | 0 |
| | | | – | 3 | 6 | 0 |
| | | | | | | 0 |
STEP 19: SUBTRACT 360 - 360 = 0
|
| | | 0 | 0 | 0 | 6 | 2 |
1 | 8 | 0 | 1 | 1 | 1 | 6 | 0 |
| | – | 0 | | | | |
| | | 1 | 1 | | | |
| | | – | 0 | | | |
| | | 1 | 1 | 1 | | |
| | | | – | 0 | | |
| | | 1 | 1 | 1 | 6 | |
| | – | 1 | 0 | 8 | 0 | |
| | | | | 3 | 6 | 0 |
| | | | – | 3 | 6 | 0 |
| | | | | | | 0 |
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