We're dividing 125813 by 87 
We're looking to find how many times 87 goes into 125813.

Going ahead to step 1:
87 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 87

On to step 2:
87 goes into 12 0 times with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 12 leaves us with 12.
Bring next digit (5) of the dividend behind the 12 and repeat the process: 125 / 87

On to step 3:
125 divided by 87 is 1 with a remainder of 38.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 38 after subtracting 87 from 125.
Append the next digit (8) from the dividend to 38 and continue with: 388 / 87

Moving on to step 4:
If we divide 388 by 87, we get 4 and a remainder of 40.
Put 4 as the next digit of the answer. 
Result so far: 14.0
If we subtract 348 from 388, we get 40.
Append the next digit (1) from the dividend to 40 and continue with: 401 / 87

Going ahead to step 5:
87 can be fit into 401 4 times, resulting in a remainder of 53.
Use 4 as the next digit of our solution. 
Result so far: 144.0
If we subtract 348 from 401, we get 53.
Take the next digit (3) from the dividend and append it to 53, then repeat: 533 / 87

On to step 6:
87 can be fit into 533 6 times, resulting in a remainder of 11.
Put 6 as the next digit of the answer. 
Result so far: 1446.0
If we take 522 away from 533, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
If we divide 110 by 87, we get 1 and a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 1446.1
The remainder is 23 after subtracting 87 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Advancing to step 8:
When dividing 230 by 87, we get 2 with a remainder of 56.
Record the quotient 2 as the next digit in the result. 
Result so far: 1446.12
If we subtract 174 from 230, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 9:
When dividing 560 by 87, we get 6 with a remainder of 38.
Use 6 as the next digit of our solution. 
Result so far: 1446.126
If we subtract 522 from 560, we get 38.
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 10:
87 can be fit into 380 4 times, resulting in a remainder of 32.
The next digit of our result is 4. 
Result so far: 1446.1264
If we subtract 348 from 380, we get 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 11:
The number 87 fits into 320 3 times, leaving a remainder of 59.
Use 3 as the next digit of our solution. 
Result so far: 1446.12643
If we subtract 261 from 320, we get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Moving on to step 12:
When dividing 590 by 87, we get 6 with a remainder of 68.
Write down 6 as next digit of the result. 
Result so far: 1446.126436
Subtracting 522 from 590 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 13:
When dividing 680 by 87, we get 7 with a remainder of 71.
Use 7 as the next digit of our solution. 
Result so far: 1446.1264367
If we take 609 away from 680, we end up with 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

On to step 14:
When dividing 710 by 87, we get 8 with a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 1446.12643678
Deduct 696 from 710 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final outcome is 1446.12643678, with a leftover of 1.4e-08.