We look at the division of 71162201 by 513 
We're looking to find how many times 513 goes into 71162201.

Advancing to step 1:
513 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 513

On to step 2:
When dividing 71 by 513, we get 0 with a remainder of 71.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 71, we end up with 71.
Fetch the next digit (1) from the dividend, attach it to 71 and continue: 711 / 513

Step 3:
513 can be fit into 711 1 times, resulting in a remainder of 198.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 198 after subtracting 513 from 711.
Take the next digit (6) from the dividend and append it to 198, then repeat: 1986 / 513

Moving on to step 4:
1986 divided by 513 is 3 with a remainder of 447.
The next digit of our result is 3. 
Result so far: 13.0
Deduct 1539 from 1986 and we're left with 447.
Grab the next digit (2) from the dividend, add it to 447, then carry on: 4472 / 513

Let's proceed to step 5:
The number 513 fits into 4472 8 times, leaving a remainder of 368.
Put 8 as the next digit of the answer. 
Result so far: 138.0
Deduct 4104 from 4472 and we're left with 368.
Append the next digit (2) from the dividend to 368 and continue with: 3682 / 513

Step 6:
When dividing 3682 by 513, we get 7 with a remainder of 91.
The next digit of our result is 7. 
Result so far: 1387.0
Subtract 3591 from 3682 to get 91.
Bring next digit (0) of the dividend behind the 91 and repeat the process: 910 / 513

Step 7:
When dividing 910 by 513, we get 1 with a remainder of 397.
Use 1 as the next digit of our solution. 
Result so far: 13871.0
The remainder is 397 after subtracting 513 from 910.
Append the next digit (1) from the dividend to 397 and continue with: 3971 / 513

Let's proceed to step 8:
When dividing 3971 by 513, we get 7 with a remainder of 380.
Use 7 as the next digit of our solution. 
Result so far: 138717.0
The remainder is 380 after subtracting 3591 from 3971.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3800, and continue the process.

Advancing to step 9:
If we divide 3800 by 513, we get 7 and a remainder of 209.
The number 7 becomes the next digit in our result. 
Result so far: 138717.7
The remainder is 209 after subtracting 3591 from 3800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2090, and continue the process.

Going ahead to step 10:
The number 513 fits into 2090 4 times, leaving a remainder of 38.
Use 4 as the next digit of our solution. 
Result so far: 138717.74
If we take 2052 away from 2090, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 11:
513 goes into 380 0 times with a remainder of 380.
Use 0 as the next digit of our solution. 
Result so far: 138717.74
Deduct 0 from 380 and we're left with 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3800, and continue the process.

On to step 12:
3800 divided by 513 is 7 with a remainder of 209.
The number 7 becomes the next digit in our result. 
Result so far: 138717.7407
If we take 3591 away from 3800, we end up with 209.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2090, and continue the process.

Moving on to step 13:
513 goes into 2090 4 times with a remainder of 38.
Record the quotient 4 as the next digit in the result. 
Result so far: 138717.74074
Subtract 2052 from 2090 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 14:
513 can be fit into 380 0 times, resulting in a remainder of 380.
Use 0 as the next digit of our solution. 
Result so far: 138717.74074
If we subtract 0 from 380, we get 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3800, and continue the process.

Advancing to step 15:
If we divide 3800 by 513, we get 7 and a remainder of 209.
Record the quotient 7 as the next digit in the result. 
Result so far: 138717.7407407
Deduct 3591 from 3800 and we're left with 209.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2090, and continue the process.

Step 16:
The number 513 fits into 2090 4 times, leaving a remainder of 38.
Put 4 as the next digit of the answer. 
Result so far: 138717.74074074
Subtracting 2052 from 2090 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Our division results in 138717.74074074 with a remaining 3.8e-08.