We're dividing 563763 by 86 
We want to figure out the number of times 563763 can be divided by 86.

On to step 1:
When dividing 5 by 86, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 86

Moving on to step 2:
When dividing 56 by 86, we get 0 with a remainder of 56.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 56 to get 56.
Bring next digit (3) of the dividend behind the 56 and repeat the process: 563 / 86

Let's proceed to step 3:
When dividing 563 by 86, we get 6 with a remainder of 47.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we subtract 516 from 563, we get 47.
Take the next digit (7) from the dividend and append it to 47, then repeat: 477 / 86

Going ahead to step 4:
When dividing 477 by 86, we get 5 with a remainder of 47.
Record the quotient 5 as the next digit in the result. 
Result so far: 65.0
Subtract 430 from 477 to get 47.
Take the next digit (6) from the dividend and append it to 47, then repeat: 476 / 86

On to step 5:
When dividing 476 by 86, we get 5 with a remainder of 46.
Record the quotient 5 as the next digit in the result. 
Result so far: 655.0
If we subtract 430 from 476, we get 46.
Grab the next digit (3) from the dividend, add it to 46, then carry on: 463 / 86

Going ahead to step 6:
If we divide 463 by 86, we get 5 and a remainder of 33.
The number 5 becomes the next digit in our result. 
Result so far: 6555.0
Subtracting 430 from 463 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 7:
The number 86 fits into 330 3 times, leaving a remainder of 72.
The number 3 becomes the next digit in our result. 
Result so far: 6555.3
Subtract 258 from 330 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 8:
720 divided by 86 is 8 with a remainder of 32.
The next digit of our result is 8. 
Result so far: 6555.38
Deduct 688 from 720 and we're left 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.

Step 9:
320 divided by 86 is 3 with a remainder of 62.
Use 3 as the next digit of our solution. 
Result so far: 6555.383
Subtract 258 from 320 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 10:
86 goes into 620 7 times with a remainder of 18.
Write down 7 as next digit of the result. 
Result so far: 6555.3837
The remainder is 18 after subtracting 602 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 11:
The number 86 fits into 180 2 times, leaving a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 6555.38372
The remainder is 8 after subtracting 172 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 12:
80 divided by 86 is 0 with a remainder of 80.
Write down 0 as next digit of the result. 
Result so far: 6555.38372
Deduct 0 from 80 and we're left with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Advancing to step 13:
800 divided by 86 is 9 with a remainder of 26.
Write down 9 as next digit of the result. 
Result so far: 6555.3837209
If we take 774 away from 800, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 14:
86 can be fit into 260 3 times, resulting in a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 6555.38372093
Subtract 258 from 260 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 6555.38372093 with a remaining 2e-09.