Let's divide 87891 by 77
Our goal is to divide 87891 by 77.

Advancing to step 1:
77 goes into 8 0 times with a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Bring next digit (7) of the dividend behind the 8 and repeat the process: 87 / 77

Advancing to step 2:
If we divide 87 by 77, we get 1 and a remainder of 10.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 77 from 87 and we're left with 10.
Take the next digit (8) from the dividend and append it to 10, then repeat: 108 / 77

Advancing to step 3:
77 can be fit into 108 1 times, resulting in a remainder of 31.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
Subtracting 77 from 108 leaves us with 31.
Fetch the next digit (9) from the dividend, attach it to 31 and continue: 319 / 77

On to step 4:
When dividing 319 by 77, we get 4 with a remainder of 11.
Put 4 as the next digit of the answer. 
Result so far: 114.0
The remainder is 11 after subtracting 308 from 319.
Bring next digit (1) of the dividend behind the 11 and repeat the process: 111 / 77

On to step 5:
The number 77 fits into 111 1 times, leaving a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 1141.0
Subtract 77 from 111 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 6:
77 goes into 340 4 times with a remainder of 32.
Put 4 as the next digit of the answer. 
Result so far: 1141.4
Subtract 308 from 340 to 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.

Advancing to step 7:
When dividing 320 by 77, we get 4 with a remainder of 12.
The next digit of our result is 4. 
Result so far: 1141.44
Subtracting 308 from 320 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

After the division, we end up with 1141.44 and a remainder of 0.012.