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Question
What is the quotient and remainder when $ 8090 $ is divided by $ 62 $ ?
Answer
The quotient is 130 and the remainder is 30.
Explanation
Division Table
|
| | 0 | 1 | 3 | 0 |
6 | 2 | 8 | 0 | 9 | 0 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 2 | | |
| | 1 | 8 | 9 | |
| – | 1 | 8 | 6 | |
| | | | 3 | 0 |
| | | | – | 0 |
| | | | 3 | 0 |
STEP 0: set up a division table
|
| | | | | |
6 | 2 | 8 | 0 | 9 | 0 |
STEP 1: DIVIDE 8 : 62 = 0 with a remainder of 8
|
| | 0 | | | |
6 | 2 | 8 | 0 | 9 | 0 |
STEP 2: MULTIPLY 0 · 62 = 0
|
| | 0 | | | |
6 | 2 | 8 | 0 | 9 | 0 |
| | 0 | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | 0 | | | |
6 | 2 | 8 | 0 | 9 | 0 |
| – | 0 | | | |
| | 8 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
6 | 2 | 8 | 0 | 9 | 0 |
| – | 0 | | | |
| | 8 | 0 | | |
STEP 5: DIVIDE 80 : 62 = 1 with a remainder of 18
|
| | 0 | 1 | | |
6 | 2 | 8 | 0 | 9 | 0 |
| – | 0 | | | |
| | 8 | 0 | | |
STEP 6: MULTIPLY 1 · 62 = 62
|
| | 0 | 1 | | |
6 | 2 | 8 | 0 | 9 | 0 |
| – | 0 | | | |
| | 8 | 0 | | |
| | 6 | 2 | | |
STEP 7: SUBTRACT 80 - 62 = 18
|
| | 0 | 1 | | |
6 | 2 | 8 | 0 | 9 | 0 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 2 | | |
| | 1 | 8 | | |
STEP 8: BRING DOWN
|
| | 0 | 1 | | |
6 | 2 | 8 | 0 | 9 | 0 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 2 | | |
| | 1 | 8 | 9 | |
STEP 9: DIVIDE 189 : 62 = 3 with a remainder of 3
|
| | 0 | 1 | 3 | |
6 | 2 | 8 | 0 | 9 | 0 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 2 | | |
| | 1 | 8 | 9 | |
STEP 10: MULTIPLY 3 · 62 = 186
|
| | 0 | 1 | 3 | |
6 | 2 | 8 | 0 | 9 | 0 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 2 | | |
| | 1 | 8 | 9 | |
| | 1 | 8 | 6 | |
STEP 11: SUBTRACT 189 - 186 = 3
|
| | 0 | 1 | 3 | |
6 | 2 | 8 | 0 | 9 | 0 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 2 | | |
| | 1 | 8 | 9 | |
| – | 1 | 8 | 6 | |
| | | | 3 | |
STEP 12: BRING DOWN
|
| | 0 | 1 | 3 | |
6 | 2 | 8 | 0 | 9 | 0 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 2 | | |
| | 1 | 8 | 9 | |
| – | 1 | 8 | 6 | |
| | | | 3 | 0 |
STEP 13: DIVIDE 30 : 62 = 0 with a remainder of 30
|
| | 0 | 1 | 3 | 0 |
6 | 2 | 8 | 0 | 9 | 0 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 2 | | |
| | 1 | 8 | 9 | |
| – | 1 | 8 | 6 | |
| | | | 3 | 0 |
STEP 14: MULTIPLY 0 · 62 = 0
|
| | 0 | 1 | 3 | 0 |
6 | 2 | 8 | 0 | 9 | 0 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 2 | | |
| | 1 | 8 | 9 | |
| – | 1 | 8 | 6 | |
| | | | 3 | 0 |
| | | | | 0 |
STEP 15: SUBTRACT 30 - 0 = 30
|
| | 0 | 1 | 3 | 0 |
6 | 2 | 8 | 0 | 9 | 0 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 2 | | |
| | 1 | 8 | 9 | |
| – | 1 | 8 | 6 | |
| | | | 3 | 0 |
| | | | – | 0 |
| | | | 3 | 0 |
STEP 15: SUBTRACT 30 - 0 = 30
|
| | 0 | 1 | 3 | 0 |
6 | 2 | 8 | 0 | 9 | 0 |
| – | 0 | | | |
| | 8 | 0 | | |
| – | 6 | 2 | | |
| | 1 | 8 | 9 | |
| – | 1 | 8 | 6 | |
| | | | 3 | 0 |
| | | | – | 0 |
| | | | 3 | 0 |
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