Let's divide 15719 by 77
Our goal is to divide 15719 by 77.

Advancing to step 1:
When dividing 1 by 77, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 77

On to step 2:
When dividing 15 by 77, we get 0 with a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 15 to get 15.
Append the next digit (7) from the dividend to 15 and continue with: 157 / 77

Step 3:
77 goes into 157 2 times with a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 154 from 157 and we're left with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 77

Let's proceed to step 4:
The number 77 fits into 31 0 times, leaving a remainder of 31.
Use 0 as the next digit of our solution. 
Result so far: 20.0
The remainder is 31 after subtracting 0 from 31.
Bring next digit (9) of the dividend behind the 31 and repeat the process: 319 / 77

Moving on to step 5:
If we divide 319 by 77, we get 4 and a remainder of 11.
Write down 4 as next digit of the result. 
Result so far: 204.0
If we take 308 away from 319, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 6:
77 goes into 110 1 times with a remainder of 33.
The next digit of our result is 1. 
Result so far: 204.1
Deduct 77 from 110 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 7:
When dividing 330 by 77, we get 4 with a remainder of 22.
Put 4 as the next digit of the answer. 
Result so far: 204.14
Deduct 308 from 330 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 8:
The number 77 fits into 220 2 times, leaving a remainder of 66.
Record the quotient 2 as the next digit in the result. 
Result so far: 204.142
The remainder is 66 after subtracting 154 from 220.
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 9:
660 divided by 77 is 8 with a remainder of 44.
The number 8 becomes the next digit in our result. 
Result so far: 204.1428
Subtracting 616 from 660 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 10:
77 can be fit into 440 5 times, resulting in a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 204.14285
If we take 385 away from 440, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 11:
When dividing 550 by 77, we get 7 with a remainder of 11.
The next digit of our result is 7. 
Result so far: 204.142857
The remainder is 11 after subtracting 539 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 12:
77 goes into 110 1 times with a remainder of 33.
Use 1 as the next digit of our solution. 
Result so far: 204.1428571
Subtracting 77 from 110 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 13:
When dividing 330 by 77, we get 4 with a remainder of 22.
Use 4 as the next digit of our solution. 
Result so far: 204.14285714
Deduct 308 from 330 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The quotient of the division is 204.14285714, and the remainder is 2.2e-08.