We look at the division of 781657 by 15 
Our goal is to divide 781657 by 15.

Going ahead to step 1:
The number 15 fits into 7 0 times, leaving a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 15

Going ahead to step 2:
When dividing 78 by 15, we get 5 with a remainder of 3.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 75 from 78 and we're left with 3.
Include the next digit (1) from the dividend after 3, then repeat: 31 / 15

Let's proceed to step 3:
When dividing 31 by 15, we get 2 with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 52.0
Deduct 30 from 31 and we're left with 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 15

Advancing to step 4:
16 divided by 15 is 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 521.0
Deduct 15 from 16 and we're left with 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 15

Moving on to step 5:
15 goes into 15 1 times with a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 5211.0
If we subtract 15 from 15, we get 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 15

Going ahead to step 6:
If we divide 7 by 15, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 52110.0
If we take 0 away from 7, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
70 divided by 15 is 4 with a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 52110.4
The remainder is 10 after subtracting 60 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 8:
The number 15 fits into 100 6 times, leaving a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 52110.46
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
15 can be fit into 100 6 times, resulting in a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 52110.466
Deduct 90 from 100 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 52110.466 and a remainder of 0.001.