Let's divide 102771 by 87
Our goal is to divide 102771 by 87.

Moving 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
The remainder is 1 after subtracting 0 from 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 87

Let's proceed to step 2:
When dividing 10 by 87, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Grab the next digit (2) from the dividend, add it to 10, then carry on: 102 / 87

Going ahead to step 3:
87 can be fit into 102 1 times, resulting in a remainder of 15.
The next digit of our result is 1. 
Result so far: 1.0
If we take 87 away from 102, we end up with 15.
Fetch the next digit (7) from the dividend, attach it to 15 and continue: 157 / 87

Let's proceed to step 4:
The number 87 fits into 157 1 times, leaving a remainder of 70.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we take 87 away from 157, we end up with 70.
Bring next digit (7) of the dividend behind the 70 and repeat the process: 707 / 87

On to step 5:
87 can be fit into 707 8 times, resulting in a remainder of 11.
Put 8 as the next digit of the answer. 
Result so far: 118.0
If we subtract 696 from 707, we get 11.
Take the next digit (1) from the dividend and append it to 11, then repeat: 111 / 87

Going ahead to step 6:
When dividing 111 by 87, we get 1 with a remainder of 24.
The next digit of our result is 1. 
Result so far: 1181.0
If we take 87 away from 111, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 7:
If we divide 240 by 87, we get 2 and a remainder of 66.
Use 2 as the next digit of our solution. 
Result so far: 1181.2
Subtracting 174 from 240 leaves us with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 8:
87 can be fit into 660 7 times, resulting in a remainder of 51.
Record the quotient 7 as the next digit in the result. 
Result so far: 1181.27
The remainder is 51 after subtracting 609 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Advancing to step 9:
87 can be fit into 510 5 times, resulting in a remainder of 75.
The number 5 becomes the next digit in our result. 
Result so far: 1181.275
Deduct 435 from 510 and we're left with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Advancing to step 10:
When dividing 750 by 87, we get 8 with a remainder of 54.
Write down 8 as next digit of the result. 
Result so far: 1181.2758
The remainder is 54 after subtracting 696 from 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 11:
87 can be fit into 540 6 times, resulting in a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 1181.27586
The remainder is 18 after subtracting 522 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 12:
180 divided by 87 is 2 with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 1181.275862
If we take 174 away from 180, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 13:
If we divide 60 by 87, we get 0 and a remainder of 60.
The next digit of our result is 0. 
Result so far: 1181.275862
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 14:
87 can be fit into 600 6 times, resulting in a remainder of 78.
Put 6 as the next digit of the answer. 
Result so far: 1181.27586206
Subtracting 522 from 600 leaves us with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

The final outcome is 1181.27586206, with a leftover of 7.8e-08.