71108597 ÷ 125 
We want to figure out the number of times 71108597 can be divided by 125.

Step 1:
The number 125 fits into 7 0 times, leaving a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Append the next digit (1) from the dividend to 7 and continue with: 71 / 125

Advancing to step 2:
125 can be fit into 71 0 times, resulting in a remainder of 71.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 71 to get 71.
Include the next digit (1) from the dividend after 71, then repeat: 711 / 125

Let's proceed to step 3:
The number 125 fits into 711 5 times, leaving a remainder of 86.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 86 after subtracting 625 from 711.
Fetch the next digit (0) from the dividend, attach it to 86 and continue: 860 / 125

Step 4:
125 goes into 860 6 times with a remainder of 110.
Put 6 as the next digit of the answer. 
Result so far: 56.0
If we take 750 away from 860, we end up with 110.
Take the next digit (8) from the dividend and append it to 110, then repeat: 1108 / 125

Advancing to step 5:
The number 125 fits into 1108 8 times, leaving a remainder of 108.
Write down 8 as next digit of the result. 
Result so far: 568.0
If we take 1000 away from 1108, we end up with 108.
Append the next digit (5) from the dividend to 108 and continue with: 1085 / 125

Step 6:
The number 125 fits into 1085 8 times, leaving a remainder of 85.
The next digit of our result is 8. 
Result so far: 5688.0
If we subtract 1000 from 1085, we get 85.
Bring next digit (9) of the dividend behind the 85 and repeat the process: 859 / 125

Moving on to step 7:
125 goes into 859 6 times with a remainder of 109.
The number 6 becomes the next digit in our result. 
Result so far: 56886.0
If we subtract 750 from 859, we get 109.
Fetch the next digit (7) from the dividend, attach it to 109 and continue: 1097 / 125

Going ahead to step 8:
1097 divided by 125 is 8 with a remainder of 97.
Record the quotient 8 as the next digit in the result. 
Result so far: 568868.0
If we take 1000 away from 1097, we end up with 97.
Since there are no more digits in the dividend, we add a zero to the remainder making it 970, and continue the process.

Advancing to step 9:
If we divide 970 by 125, we get 7 and a remainder of 95.
The next digit of our result is 7. 
Result so far: 568868.7
Deduct 875 from 970 and we're left with 95.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Moving on to step 10:
950 divided by 125 is 7 with a remainder of 75.
Write down 7 as next digit of the result. 
Result so far: 568868.77
Deduct 875 from 950 and we're left with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

The final result is 568868.77 with a remainder of 0.075.