We look at the division of 870541 by 71 
We're looking to find how many times 71 goes into 870541.

Step 1:
The number 71 fits into 8 0 times, leaving a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 71

Advancing to step 2:
The number 71 fits into 87 1 times, leaving a remainder of 16.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 71 from 87, we get 16.
Fetch the next digit (0) from the dividend, attach it to 16 and continue: 160 / 71

Let's proceed to step 3:
The number 71 fits into 160 2 times, leaving a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Deduct 142 from 160 and we're left with 18.
Take the next digit (5) from the dividend and append it to 18, then repeat: 185 / 71

Advancing to step 4:
If we divide 185 by 71, we get 2 and a remainder of 43.
Record the quotient 2 as the next digit in the result. 
Result so far: 122.0
The remainder is 43 after subtracting 142 from 185.
Append the next digit (4) from the dividend to 43 and continue with: 434 / 71

Advancing to step 5:
If we divide 434 by 71, we get 6 and a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 1226.0
If we take 426 away from 434, we end up with 8.
Append the next digit (1) from the dividend to 8 and continue with: 81 / 71

Going ahead to step 6:
When dividing 81 by 71, we get 1 with a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 12261.0
The remainder is 10 after subtracting 71 from 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
71 can be fit into 100 1 times, resulting in a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 12261.1
Deduct 71 from 100 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.

Moving on to step 8:
290 divided by 71 is 4 with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 12261.14
If we subtract 284 from 290, 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.

On to step 9:
71 can be fit into 60 0 times, resulting in a remainder of 60.
The next digit of our result is 0. 
Result so far: 12261.14
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 10:
If we divide 600 by 71, we get 8 and a remainder of 32.
The number 8 becomes the next digit in our result. 
Result so far: 12261.1408
If we take 568 away from 600, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 11:
71 goes into 320 4 times with a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 12261.14084
If we take 284 away from 320, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 12:
If we divide 360 by 71, we get 5 and a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 12261.140845
Deduct 355 from 360 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 13:
If we divide 50 by 71, we get 0 and a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 12261.140845
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 14:
When dividing 500 by 71, we get 7 with a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 12261.14084507
The remainder is 3 after subtracting 497 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 12261.14084507, and the remainder is 3e-09.