back to index
What is the quotient and remainder when $ 1732 $ is divided by $ 18 $ ?
Answer
The quotient is 96 and the remainder is 4.
Explanation
Division Table
|
| | 0 | 0 | 9 | 6 |
1 | 8 | 1 | 7 | 3 | 2 |
| – | 0 | | | |
| | 1 | 7 | | |
| | – | 0 | | |
| | 1 | 7 | 3 | |
| – | 1 | 6 | 2 | |
| | | 1 | 1 | 2 |
| | – | 1 | 0 | 8 |
| | | | | 4 |
STEP 0: set up a division table
|
| | | | | |
1 | 8 | 1 | 7 | 3 | 2 |
STEP 1: DIVIDE 1 : 18 = 0 with a remainder of 1
|
| | 0 | | | |
1 | 8 | 1 | 7 | 3 | 2 |
STEP 2: MULTIPLY 0 · 18 = 0
|
| | 0 | | | |
1 | 8 | 1 | 7 | 3 | 2 |
| | 0 | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | 0 | | | |
1 | 8 | 1 | 7 | 3 | 2 |
| – | 0 | | | |
| | 1 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
1 | 8 | 1 | 7 | 3 | 2 |
| – | 0 | | | |
| | 1 | 7 | | |
STEP 5: DIVIDE 17 : 18 = 0 with a remainder of 17
|
| | 0 | 0 | | |
1 | 8 | 1 | 7 | 3 | 2 |
| – | 0 | | | |
| | 1 | 7 | | |
STEP 6: MULTIPLY 0 · 18 = 0
|
| | 0 | 0 | | |
1 | 8 | 1 | 7 | 3 | 2 |
| – | 0 | | | |
| | 1 | 7 | | |
| | | 0 | | |
STEP 7: SUBTRACT 17 - 0 = 17
|
| | 0 | 0 | | |
1 | 8 | 1 | 7 | 3 | 2 |
| – | 0 | | | |
| | 1 | 7 | | |
| | – | 0 | | |
| | 1 | 7 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
1 | 8 | 1 | 7 | 3 | 2 |
| – | 0 | | | |
| | 1 | 7 | | |
| | – | 0 | | |
| | 1 | 7 | 3 | |
STEP 9: DIVIDE 173 : 18 = 9 with a remainder of 11
|
| | 0 | 0 | 9 | |
1 | 8 | 1 | 7 | 3 | 2 |
| – | 0 | | | |
| | 1 | 7 | | |
| | – | 0 | | |
| | 1 | 7 | 3 | |
STEP 10: MULTIPLY 9 · 18 = 162
|
| | 0 | 0 | 9 | |
1 | 8 | 1 | 7 | 3 | 2 |
| – | 0 | | | |
| | 1 | 7 | | |
| | – | 0 | | |
| | 1 | 7 | 3 | |
| | 1 | 6 | 2 | |
STEP 11: SUBTRACT 173 - 162 = 11
|
| | 0 | 0 | 9 | |
1 | 8 | 1 | 7 | 3 | 2 |
| – | 0 | | | |
| | 1 | 7 | | |
| | – | 0 | | |
| | 1 | 7 | 3 | |
| – | 1 | 6 | 2 | |
| | | 1 | 1 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 9 | |
1 | 8 | 1 | 7 | 3 | 2 |
| – | 0 | | | |
| | 1 | 7 | | |
| | – | 0 | | |
| | 1 | 7 | 3 | |
| – | 1 | 6 | 2 | |
| | | 1 | 1 | 2 |
STEP 13: DIVIDE 112 : 18 = 6 with a remainder of 4
|
| | 0 | 0 | 9 | 6 |
1 | 8 | 1 | 7 | 3 | 2 |
| – | 0 | | | |
| | 1 | 7 | | |
| | – | 0 | | |
| | 1 | 7 | 3 | |
| – | 1 | 6 | 2 | |
| | | 1 | 1 | 2 |
STEP 14: MULTIPLY 6 · 18 = 108
|
| | 0 | 0 | 9 | 6 |
1 | 8 | 1 | 7 | 3 | 2 |
| – | 0 | | | |
| | 1 | 7 | | |
| | – | 0 | | |
| | 1 | 7 | 3 | |
| – | 1 | 6 | 2 | |
| | | 1 | 1 | 2 |
| | | 1 | 0 | 8 |
STEP 15: SUBTRACT 112 - 108 = 4
|
| | 0 | 0 | 9 | 6 |
1 | 8 | 1 | 7 | 3 | 2 |
| – | 0 | | | |
| | 1 | 7 | | |
| | – | 0 | | |
| | 1 | 7 | 3 | |
| – | 1 | 6 | 2 | |
| | | 1 | 1 | 2 |
| | – | 1 | 0 | 8 |
| | | | | 4 |
STEP 15: SUBTRACT 112 - 108 = 4
|
| | 0 | 0 | 9 | 6 |
1 | 8 | 1 | 7 | 3 | 2 |
| – | 0 | | | |
| | 1 | 7 | | |
| | – | 0 | | |
| | 1 | 7 | 3 | |
| – | 1 | 6 | 2 | |
| | | 1 | 1 | 2 |
| | – | 1 | 0 | 8 |
| | | | | 4 |
This page was created using
Long division calculator