We look at the division of 71980 by 53 
We want to figure out the number of times 71980 can be divided by 53.

Advancing to step 1:
If we divide 7 by 53, we get 0 and a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 53

Going ahead to step 2:
53 goes into 71 1 times with a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 53 from 71 to get 18.
Take the next digit (9) from the dividend and append it to 18, then repeat: 189 / 53

Step 3:
The number 53 fits into 189 3 times, leaving a remainder of 30.
Use 3 as the next digit of our solution. 
Result so far: 13.0
Subtract 159 from 189 to get 30.
Fetch the next digit (8) from the dividend, attach it to 30 and continue: 308 / 53

Moving on to step 4:
When dividing 308 by 53, we get 5 with a remainder of 43.
Use 5 as the next digit of our solution. 
Result so far: 135.0
Subtracting 265 from 308 leaves us with 43.
Fetch the next digit (0) from the dividend, attach it to 43 and continue: 430 / 53

Advancing to step 5:
When dividing 430 by 53, we get 8 with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 1358.0
If we subtract 424 from 430, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 6:
The number 53 fits into 60 1 times, leaving a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 1358.1
Subtract 53 from 60 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
53 goes into 70 1 times with a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 1358.11
The remainder is 17 after subtracting 53 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The final outcome is 1358.11, with a leftover of 0.017.