Let's divide 101644 by 77
Let's see how many times 77 fits into 101644.

Going ahead to step 1:
When dividing 1 by 77, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 77

Moving on to step 2:
The number 77 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 77

Advancing to step 3:
If we divide 101 by 77, we get 1 and a remainder of 24.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 77 from 101, we get 24.
Take the next digit (6) from the dividend and append it to 24, then repeat: 246 / 77

On to step 4:
77 can be fit into 246 3 times, resulting in a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 13.0
If we take 231 away from 246, we end up with 15.
Bring next digit (4) of the dividend behind the 15 and repeat the process: 154 / 77

Advancing to step 5:
If we divide 154 by 77, we get 2 and a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 132.0
If we subtract 154 from 154, we get 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 77

Advancing to step 6:
4 divided by 77 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 1320.0
If we subtract 0 from 4, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 7:
40 divided by 77 is 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 1320.0
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
The number 77 fits into 400 5 times, leaving a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 1320.05
The remainder is 15 after subtracting 385 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 9:
77 goes into 150 1 times with a remainder of 73.
The number 1 becomes the next digit in our result. 
Result so far: 1320.051
If we take 77 away from 150, 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.

Moving on to step 10:
730 divided by 77 is 9 with a remainder of 37.
Write down 9 as next digit of the result. 
Result so far: 1320.0519
If we take 693 away from 730, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Advancing to step 11:
If we divide 370 by 77, we get 4 and a remainder of 62.
Use 4 as the next digit of our solution. 
Result so far: 1320.05194
Deduct 308 from 370 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 12:
77 goes into 620 8 times with a remainder of 4.
The next digit of our result is 8. 
Result so far: 1320.051948
Subtracting 616 from 620 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 13:
40 divided by 77 is 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 1320.051948
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 14:
When dividing 400 by 77, we get 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 1320.05194805
If we take 385 away from 400, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The quotient of the division is 1320.05194805, and the remainder is 1.5e-08.