We're dividing 569971 by 86 
We're looking to find how many times 86 goes into 569971.

Going ahead to step 1:
When dividing 5 by 86, we get 0 with a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 86

On to step 2:
When dividing 56 by 86, we get 0 with a remainder of 56.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 56, we get 56.
Include the next digit (9) from the dividend after 56, then repeat: 569 / 86

Step 3:
When dividing 569 by 86, we get 6 with a remainder of 53.
The next digit of our result is 6. 
Result so far: 6.0
Subtract 516 from 569 to get 53.
Append the next digit (9) from the dividend to 53 and continue with: 539 / 86

Going ahead to step 4:
539 divided by 86 is 6 with a remainder of 23.
Record the quotient 6 as the next digit in the result. 
Result so far: 66.0
If we subtract 516 from 539, we get 23.
Bring next digit (7) of the dividend behind the 23 and repeat the process: 237 / 86

On to step 5:
The number 86 fits into 237 2 times, leaving a remainder of 65.
Record the quotient 2 as the next digit in the result. 
Result so far: 662.0
Deduct 172 from 237 and we're left with 65.
Grab the next digit (1) from the dividend, add it to 65, then carry on: 651 / 86

Let's proceed to step 6:
The number 86 fits into 651 7 times, leaving a remainder of 49.
Put 7 as the next digit of the answer. 
Result so far: 6627.0
Deduct 602 from 651 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

On to step 7:
86 goes into 490 5 times with a remainder of 60.
Put 5 as the next digit of the answer. 
Result so far: 6627.5
Deduct 430 from 490 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.

Moving on to step 8:
86 goes into 600 6 times with a remainder of 84.
Use 6 as the next digit of our solution. 
Result so far: 6627.56
Subtract 516 from 600 to get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Advancing to step 9:
When dividing 840 by 86, we get 9 with a remainder of 66.
Record the quotient 9 as the next digit in the result. 
Result so far: 6627.569
Subtract 774 from 840 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 10:
86 goes into 660 7 times with a remainder of 58.
The number 7 becomes the next digit in our result. 
Result so far: 6627.5697
Subtract 602 from 660 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 11:
86 goes into 580 6 times with a remainder of 64.
Write down 6 as next digit of the result. 
Result so far: 6627.56976
Subtract 516 from 580 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 12:
86 goes into 640 7 times with a remainder of 38.
The next digit of our result is 7. 
Result so far: 6627.569767
The remainder is 38 after subtracting 602 from 640.
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 13:
86 goes into 380 4 times with a remainder of 36.
The next digit of our result is 4. 
Result so far: 6627.5697674
Deduct 344 from 380 and we're left 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.

Advancing to step 14:
If we divide 360 by 86, we get 4 and a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 6627.56976744
If we subtract 344 from 360, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

After the division, we end up with 6627.56976744 and a remainder of 1.6e-08.