We're dividing 7801 by 87 
Let's see how many times 87 fits into 7801.

Going ahead to step 1:
If we divide 7 by 87, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 87

Moving on to step 2:
78 divided by 87 is 0 with a remainder of 78.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 78 leaves us with 78.
Bring next digit (0) of the dividend behind the 78 and repeat the process: 780 / 87

On to step 3:
The number 87 fits into 780 8 times, leaving a remainder of 84.
Use 8 as the next digit of our solution. 
Result so far: 8.0
If we take 696 away from 780, we end up with 84.
Take the next digit (1) from the dividend and append it to 84, then repeat: 841 / 87

Advancing to step 4:
The number 87 fits into 841 9 times, leaving a remainder of 58.
Write down 9 as next digit of the result. 
Result so far: 89.0
The remainder is 58 after subtracting 783 from 841.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 5:
87 can be fit into 580 6 times, resulting in a remainder of 58.
Use 6 as the next digit of our solution. 
Result so far: 89.6
If we take 522 away from 580, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 6:
The number 87 fits into 580 6 times, leaving a remainder of 58.
The number 6 becomes the next digit in our result. 
Result so far: 89.66
The remainder is 58 after subtracting 522 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

The final result is 89.66 with a remainder of 0.058.