We're dividing 108644 by 77 
We want to figure out the number of times 108644 can be divided by 77.

On to step 1:
When dividing 1 by 77, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 77

Advancing to step 2:
When dividing 10 by 77, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Grab the next digit (8) from the dividend, add it to 10, then carry on: 108 / 77

On to step 3:
If we divide 108 by 77, we get 1 and a remainder of 31.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 77 from 108 leaves us with 31.
Grab the next digit (6) from the dividend, add it to 31, then carry on: 316 / 77

Advancing to step 4:
77 goes into 316 4 times with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 14.0
If we take 308 away from 316, we end up with 8.
Grab the next digit (4) from the dividend, add it to 8, then carry on: 84 / 77

Let's proceed to step 5:
77 goes into 84 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 141.0
The remainder is 7 after subtracting 77 from 84.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 77

On to step 6:
77 can be fit into 74 0 times, resulting in a remainder of 74.
The next digit of our result is 0. 
Result so far: 1410.0
Subtract 0 from 74 to get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Advancing to step 7:
When dividing 740 by 77, we get 9 with a remainder of 47.
Use 9 as the next digit of our solution. 
Result so far: 1410.9
Subtract 693 from 740 to get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 8:
The number 77 fits into 470 6 times, leaving a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 1410.96
If we subtract 462 from 470, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 9:
If we divide 80 by 77, we get 1 and a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1410.961
If we take 77 away from 80, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 10:
If we divide 30 by 77, we get 0 and a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 1410.961
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 11:
77 can be fit into 300 3 times, resulting in a remainder of 69.
Use 3 as the next digit of our solution. 
Result so far: 1410.96103
Subtracting 231 from 300 leaves us with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Step 12:
If we divide 690 by 77, we get 8 and a remainder of 74.
Write down 8 as next digit of the result. 
Result so far: 1410.961038
Deduct 616 from 690 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Going ahead to step 13:
If we divide 740 by 77, we get 9 and a remainder of 47.
Write down 9 as next digit of the result. 
Result so far: 1410.9610389
If we subtract 693 from 740, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 14:
77 goes into 470 6 times with a remainder of 8.
Put 6 as the next digit of the answer. 
Result so far: 1410.96103896
Subtracting 462 from 470 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 1410.96103896, and the remainder is 8e-09.