117982 ÷ 53 
We want to figure out the number of times 117982 can be divided by 53.

On to step 1:
If we divide 1 by 53, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 53

Let's proceed to step 2:
53 can be fit into 11 0 times, resulting in a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Append the next digit (7) from the dividend to 11 and continue with: 117 / 53

On to step 3:
When dividing 117 by 53, we get 2 with a remainder of 11.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 11 after subtracting 106 from 117.
Fetch the next digit (9) from the dividend, attach it to 11 and continue: 119 / 53

Step 4:
The number 53 fits into 119 2 times, leaving a remainder of 13.
The number 2 becomes the next digit in our result. 
Result so far: 22.0
Subtracting 106 from 119 leaves us with 13.
Append the next digit (8) from the dividend to 13 and continue with: 138 / 53

Going ahead to step 5:
When dividing 138 by 53, we get 2 with a remainder of 32.
Record the quotient 2 as the next digit in the result. 
Result so far: 222.0
The remainder is 32 after subtracting 106 from 138.
Take the next digit (2) from the dividend and append it to 32, then repeat: 322 / 53

Moving on to step 6:
When dividing 322 by 53, we get 6 with a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 2226.0
The remainder is 4 after subtracting 318 from 322.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
The number 53 fits into 40 0 times, leaving a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 2226.0
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 8:
400 divided by 53 is 7 with a remainder of 29.
The next digit of our result is 7. 
Result so far: 2226.07
Deduct 371 from 400 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 9:
53 goes into 290 5 times with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 2226.075
Subtracting 265 from 290 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 10:
250 divided by 53 is 4 with a remainder of 38.
The next digit of our result is 4. 
Result so far: 2226.0754
Subtract 212 from 250 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 11:
If we divide 380 by 53, we get 7 and a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 2226.07547
Subtracting 371 from 380 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 12:
53 goes into 90 1 times with a remainder of 37.
Write down 1 as next digit of the result. 
Result so far: 2226.075471
The remainder is 37 after subtracting 53 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 13:
370 divided by 53 is 6 with a remainder of 52.
Put 6 as the next digit of the answer. 
Result so far: 2226.0754716
Subtract 318 from 370 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Moving on to step 14:
53 can be fit into 520 9 times, resulting in a remainder of 43.
The number 9 becomes the next digit in our result. 
Result so far: 2226.07547169
Subtract 477 from 520 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Our division results in 2226.07547169 with a remaining 4.3e-08.