We're dividing 135601 by 87 
Our goal is to divide 135601 by 87.

On to step 1:
1 divided by 87 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 87

Going ahead to step 2:
When dividing 13 by 87, we get 0 with a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 87

Going ahead to step 3:
If we divide 135 by 87, we get 1 and a remainder of 48.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 87 from 135 leaves us with 48.
Bring next digit (6) of the dividend behind the 48 and repeat the process: 486 / 87

Advancing to step 4:
87 can be fit into 486 5 times, resulting in a remainder of 51.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Subtracting 435 from 486 leaves us with 51.
Bring next digit (0) of the dividend behind the 51 and repeat the process: 510 / 87

Advancing to step 5:
When dividing 510 by 87, we get 5 with a remainder of 75.
The number 5 becomes the next digit in our result. 
Result so far: 155.0
If we subtract 435 from 510, we get 75.
Grab the next digit (1) from the dividend, add it to 75, then carry on: 751 / 87

Let's proceed to step 6:
The number 87 fits into 751 8 times, leaving a remainder of 55.
Use 8 as the next digit of our solution. 
Result so far: 1558.0
If we take 696 away from 751, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 7:
When dividing 550 by 87, we get 6 with a remainder of 28.
The number 6 becomes the next digit in our result. 
Result so far: 1558.6
Subtract 522 from 550 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 8:
87 can be fit into 280 3 times, resulting in a remainder of 19.
Record the quotient 3 as the next digit in the result. 
Result so far: 1558.63
If we subtract 261 from 280, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 9:
190 divided by 87 is 2 with a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 1558.632
If we subtract 174 from 190, 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.

Going ahead to step 10:
87 goes into 160 1 times with a remainder of 73.
Write down 1 as next digit of the result. 
Result so far: 1558.6321
If we take 87 away from 160, we end up with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Advancing to step 11:
87 goes into 730 8 times with a remainder of 34.
Put 8 as the next digit of the answer. 
Result so far: 1558.63218
The remainder is 34 after subtracting 696 from 730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 12:
340 divided by 87 is 3 with a remainder of 79.
Use 3 as the next digit of our solution. 
Result so far: 1558.632183
Subtract 261 from 340 to get 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Moving on to step 13:
87 goes into 790 9 times with a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 1558.6321839
If we take 783 away from 790, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 14:
87 goes into 70 0 times with a remainder of 70.
Use 0 as the next digit of our solution. 
Result so far: 1558.6321839
The remainder is 70 after subtracting 0 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Our division results in 1558.6321839 with a remaining 7e-08.