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Question
What is the quotient and remainder when $ 962 $ is divided by $ 20 $ ?
Answer
The quotient is 48 and the remainder is 2.
Explanation
|
Division Table
|
| | | 0 | 4 | 8 |
| 2 | 0 | 9 | 6 | 2 |
| | – | 0 | | |
| | | 9 | 6 | |
| | – | 8 | 0 | |
| | | 1 | 6 | 2 |
| | – | 1 | 6 | 0 |
| | | | | 2 |
STEP 0: set up a division table
|
| | | | | |
| 2 | 0 | 9 | 6 | 2 |
STEP 1: DIVIDE 9 : 20 = 0 with a remainder of 9
|
| | | 0 | | |
| 2 | 0 | 9 | 6 | 2 |
STEP 2: MULTIPLY 0 · 20 = 0
|
| | | 0 | | |
| 2 | 0 | 9 | 6 | 2 |
| | | 0 | | |
STEP 3: SUBTRACT 9 - 0 = 9
|
| | | 0 | | |
| 2 | 0 | 9 | 6 | 2 |
| | – | 0 | | |
| | | 9 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 2 | 0 | 9 | 6 | 2 |
| | – | 0 | | |
| | | 9 | 6 | |
STEP 5: DIVIDE 96 : 20 = 4 with a remainder of 16
|
| | | 0 | 4 | |
| 2 | 0 | 9 | 6 | 2 |
| | – | 0 | | |
| | | 9 | 6 | |
STEP 6: MULTIPLY 4 · 20 = 80
|
| | | 0 | 4 | |
| 2 | 0 | 9 | 6 | 2 |
| | – | 0 | | |
| | | 9 | 6 | |
| | | 8 | 0 | |
STEP 7: SUBTRACT 96 - 80 = 16
|
| | | 0 | 4 | |
| 2 | 0 | 9 | 6 | 2 |
| | – | 0 | | |
| | | 9 | 6 | |
| | – | 8 | 0 | |
| | | 1 | 6 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 4 | |
| 2 | 0 | 9 | 6 | 2 |
| | – | 0 | | |
| | | 9 | 6 | |
| | – | 8 | 0 | |
| | | 1 | 6 | 2 |
STEP 9: DIVIDE 162 : 20 = 8 with a remainder of 2
|
| | | 0 | 4 | 8 |
| 2 | 0 | 9 | 6 | 2 |
| | – | 0 | | |
| | | 9 | 6 | |
| | – | 8 | 0 | |
| | | 1 | 6 | 2 |
STEP 10: MULTIPLY 8 · 20 = 160
|
| | | 0 | 4 | 8 |
| 2 | 0 | 9 | 6 | 2 |
| | – | 0 | | |
| | | 9 | 6 | |
| | – | 8 | 0 | |
| | | 1 | 6 | 2 |
| | | 1 | 6 | 0 |
STEP 11: SUBTRACT 162 - 160 = 2
|
| | | 0 | 4 | 8 |
| 2 | 0 | 9 | 6 | 2 |
| | – | 0 | | |
| | | 9 | 6 | |
| | – | 8 | 0 | |
| | | 1 | 6 | 2 |
| | – | 1 | 6 | 0 |
| | | | | 2 |
STEP 11: SUBTRACT 162 - 160 = 2
|
| | | 0 | 4 | 8 |
| 2 | 0 | 9 | 6 | 2 |
| | – | 0 | | |
| | | 9 | 6 | |
| | – | 8 | 0 | |
| | | 1 | 6 | 2 |
| | – | 1 | 6 | 0 |
| | | | | 2 |
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