102859 ÷ 52 
Our goal is to divide 102859 by 52.

On to step 1:
The number 52 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 52

Step 2:
52 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 52

Going ahead to step 3:
52 goes into 102 1 times with a remainder of 50.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 52 from 102 to get 50.
Append the next digit (8) from the dividend to 50 and continue with: 508 / 52

Going ahead to step 4:
52 goes into 508 9 times with a remainder of 40.
The number 9 becomes the next digit in our result. 
Result so far: 19.0
If we take 468 away from 508, we end up with 40.
Fetch the next digit (5) from the dividend, attach it to 40 and continue: 405 / 52

Moving on to step 5:
405 divided by 52 is 7 with a remainder of 41.
Write down 7 as next digit of the result. 
Result so far: 197.0
If we take 364 away from 405, we end up with 41.
Fetch the next digit (9) from the dividend, attach it to 41 and continue: 419 / 52

Step 6:
If we divide 419 by 52, we get 8 and a remainder of 3.
The number 8 becomes the next digit in our result. 
Result so far: 1978.0
Subtract 416 from 419 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
52 goes into 30 0 times with a remainder of 30.
The next digit of our result is 0. 
Result so far: 1978.0
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 8:
If we divide 300 by 52, we get 5 and a remainder of 40.
Write down 5 as next digit of the result. 
Result so far: 1978.05
The remainder is 40 after subtracting 260 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 9:
52 goes into 400 7 times with a remainder of 36.
Write down 7 as next digit of the result. 
Result so far: 1978.057
If we subtract 364 from 400, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 10:
The number 52 fits into 360 6 times, leaving a remainder of 48.
Record the quotient 6 as the next digit in the result. 
Result so far: 1978.0576
Deduct 312 from 360 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 11:
480 divided by 52 is 9 with a remainder of 12.
The number 9 becomes the next digit in our result. 
Result so far: 1978.05769
The remainder is 12 after subtracting 468 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 12:
If we divide 120 by 52, we get 2 and a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 1978.057692
If we subtract 104 from 120, 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.

Step 13:
When dividing 160 by 52, we get 3 with a remainder of 4.
Record the quotient 3 as the next digit in the result. 
Result so far: 1978.0576923
The remainder is 4 after subtracting 156 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 14:
If we divide 40 by 52, we get 0 and a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 1978.0576923
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Our division results in 1978.0576923 with a remaining 4e-08.