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Question
What is the quotient and remainder when $ 1242 $ is divided by $ 18 $ ?
Answer
The quotient is 69 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 0 | 6 | 9 |
1 | 8 | 1 | 2 | 4 | 2 |
| – | 0 | | | |
| | 1 | 2 | | |
| | – | 0 | | |
| | 1 | 2 | 4 | |
| – | 1 | 0 | 8 | |
| | | 1 | 6 | 2 |
| | – | 1 | 6 | 2 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
1 | 8 | 1 | 2 | 4 | 2 |
STEP 1: DIVIDE 1 : 18 = 0 with a remainder of 1
|
| | 0 | | | |
1 | 8 | 1 | 2 | 4 | 2 |
STEP 2: MULTIPLY 0 · 18 = 0
|
| | 0 | | | |
1 | 8 | 1 | 2 | 4 | 2 |
| | 0 | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | 0 | | | |
1 | 8 | 1 | 2 | 4 | 2 |
| – | 0 | | | |
| | 1 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
1 | 8 | 1 | 2 | 4 | 2 |
| – | 0 | | | |
| | 1 | 2 | | |
STEP 5: DIVIDE 12 : 18 = 0 with a remainder of 12
|
| | 0 | 0 | | |
1 | 8 | 1 | 2 | 4 | 2 |
| – | 0 | | | |
| | 1 | 2 | | |
STEP 6: MULTIPLY 0 · 18 = 0
|
| | 0 | 0 | | |
1 | 8 | 1 | 2 | 4 | 2 |
| – | 0 | | | |
| | 1 | 2 | | |
| | | 0 | | |
STEP 7: SUBTRACT 12 - 0 = 12
|
| | 0 | 0 | | |
1 | 8 | 1 | 2 | 4 | 2 |
| – | 0 | | | |
| | 1 | 2 | | |
| | – | 0 | | |
| | 1 | 2 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
1 | 8 | 1 | 2 | 4 | 2 |
| – | 0 | | | |
| | 1 | 2 | | |
| | – | 0 | | |
| | 1 | 2 | 4 | |
STEP 9: DIVIDE 124 : 18 = 6 with a remainder of 16
|
| | 0 | 0 | 6 | |
1 | 8 | 1 | 2 | 4 | 2 |
| – | 0 | | | |
| | 1 | 2 | | |
| | – | 0 | | |
| | 1 | 2 | 4 | |
STEP 10: MULTIPLY 6 · 18 = 108
|
| | 0 | 0 | 6 | |
1 | 8 | 1 | 2 | 4 | 2 |
| – | 0 | | | |
| | 1 | 2 | | |
| | – | 0 | | |
| | 1 | 2 | 4 | |
| | 1 | 0 | 8 | |
STEP 11: SUBTRACT 124 - 108 = 16
|
| | 0 | 0 | 6 | |
1 | 8 | 1 | 2 | 4 | 2 |
| – | 0 | | | |
| | 1 | 2 | | |
| | – | 0 | | |
| | 1 | 2 | 4 | |
| – | 1 | 0 | 8 | |
| | | 1 | 6 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 6 | |
1 | 8 | 1 | 2 | 4 | 2 |
| – | 0 | | | |
| | 1 | 2 | | |
| | – | 0 | | |
| | 1 | 2 | 4 | |
| – | 1 | 0 | 8 | |
| | | 1 | 6 | 2 |
STEP 13: DIVIDE 162 : 18 = 9 with a remainder of 0
|
| | 0 | 0 | 6 | 9 |
1 | 8 | 1 | 2 | 4 | 2 |
| – | 0 | | | |
| | 1 | 2 | | |
| | – | 0 | | |
| | 1 | 2 | 4 | |
| – | 1 | 0 | 8 | |
| | | 1 | 6 | 2 |
STEP 14: MULTIPLY 9 · 18 = 162
|
| | 0 | 0 | 6 | 9 |
1 | 8 | 1 | 2 | 4 | 2 |
| – | 0 | | | |
| | 1 | 2 | | |
| | – | 0 | | |
| | 1 | 2 | 4 | |
| – | 1 | 0 | 8 | |
| | | 1 | 6 | 2 |
| | | 1 | 6 | 2 |
STEP 15: SUBTRACT 162 - 162 = 0
|
| | 0 | 0 | 6 | 9 |
1 | 8 | 1 | 2 | 4 | 2 |
| – | 0 | | | |
| | 1 | 2 | | |
| | – | 0 | | |
| | 1 | 2 | 4 | |
| – | 1 | 0 | 8 | |
| | | 1 | 6 | 2 |
| | – | 1 | 6 | 2 |
| | | | | 0 |
STEP 15: SUBTRACT 162 - 162 = 0
|
| | 0 | 0 | 6 | 9 |
1 | 8 | 1 | 2 | 4 | 2 |
| – | 0 | | | |
| | 1 | 2 | | |
| | – | 0 | | |
| | 1 | 2 | 4 | |
| – | 1 | 0 | 8 | |
| | | 1 | 6 | 2 |
| | – | 1 | 6 | 2 |
| | | | | 0 |
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