We look at the division of 61262597 by 871 
We're looking to find how many times 871 goes into 61262597.

Step 1:
871 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 871

Let's proceed to step 2:
If we divide 61 by 871, we get 0 and a remainder of 61.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 61, we end up with 61.
Take the next digit (2) from the dividend and append it to 61, then repeat: 612 / 871

Advancing to step 3:
871 can be fit into 612 0 times, resulting in a remainder of 612.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 612 leaves us with 612.
Grab the next digit (6) from the dividend, add it to 612, then carry on: 6126 / 871

Step 4:
The number 871 fits into 6126 7 times, leaving a remainder of 29.
Write down 7 as next digit of the result. 
Result so far: 7.0
Subtract 6097 from 6126 to get 29.
Take the next digit (2) from the dividend and append it to 29, then repeat: 292 / 871

Moving on to step 5:
871 goes into 292 0 times with a remainder of 292.
The next digit of our result is 0. 
Result so far: 70.0
Subtracting 0 from 292 leaves us with 292.
Take the next digit (5) from the dividend and append it to 292, then repeat: 2925 / 871

Moving on to step 6:
871 can be fit into 2925 3 times, resulting in a remainder of 312.
Put 3 as the next digit of the answer. 
Result so far: 703.0
If we subtract 2613 from 2925, we get 312.
Take the next digit (9) from the dividend and append it to 312, then repeat: 3129 / 871

Moving on to step 7:
871 goes into 3129 3 times with a remainder of 516.
Put 3 as the next digit of the answer. 
Result so far: 7033.0
Deduct 2613 from 3129 and we're left with 516.
Fetch the next digit (7) from the dividend, attach it to 516 and continue: 5167 / 871

Let's proceed to step 8:
5167 divided by 871 is 5 with a remainder of 812.
The next digit of our result is 5. 
Result so far: 70335.0
Subtract 4355 from 5167 to get 812.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8120, and continue the process.

Step 9:
If we divide 8120 by 871, we get 9 and a remainder of 281.
Record the quotient 9 as the next digit in the result. 
Result so far: 70335.9
If we take 7839 away from 8120, we end up with 281.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2810, and continue the process.

On to step 10:
The number 871 fits into 2810 3 times, leaving a remainder of 197.
Put 3 as the next digit of the answer. 
Result so far: 70335.93
The remainder is 197 after subtracting 2613 from 2810.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1970, and continue the process.

Let's proceed to step 11:
When dividing 1970 by 871, we get 2 with a remainder of 228.
Record the quotient 2 as the next digit in the result. 
Result so far: 70335.932
Deduct 1742 from 1970 and we're left with 228.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2280, and continue the process.

Going ahead to step 12:
If we divide 2280 by 871, we get 2 and a remainder of 538.
Use 2 as the next digit of our solution. 
Result so far: 70335.9322
The remainder is 538 after subtracting 1742 from 2280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5380, and continue the process.

After the division, we end up with 70335.9322 and a remainder of 0.00538.