We're dividing 255610 by 19 
We want to figure out the number of times 255610 can be divided by 19.

Step 1:
19 can be fit into 2 0 times, resulting in a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 2 leaves us with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 19

Advancing to step 2:
When dividing 25 by 19, we get 1 with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 6 after subtracting 19 from 25.
Take the next digit (5) from the dividend and append it to 6, then repeat: 65 / 19

Step 3:
65 divided by 19 is 3 with a remainder of 8.
Put 3 as the next digit of the answer. 
Result so far: 13.0
The remainder is 8 after subtracting 57 from 65.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 19

Going ahead to step 4:
19 goes into 86 4 times with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 134.0
Subtracting 76 from 86 leaves us with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 19

On to step 5:
When dividing 101 by 19, we get 5 with a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 1345.0
Subtract 95 from 101 to get 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 19

Moving on to step 6:
19 can be fit into 60 3 times, resulting in a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 13453.0
If we subtract 57 from 60, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
If we divide 30 by 19, we get 1 and a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 13453.1
If we subtract 19 from 30, we get 11.
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 8:
19 can be fit into 110 5 times, resulting in a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 13453.15
If we subtract 95 from 110, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 9:
The number 19 fits into 150 7 times, leaving a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 13453.157
Subtract 133 from 150 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 10:
When dividing 170 by 19, we get 8 with a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 13453.1578
The remainder is 18 after subtracting 152 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 11:
180 divided by 19 is 9 with a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 13453.15789
If we subtract 171 from 180, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 12:
When dividing 90 by 19, we get 4 with a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 13453.157894
Deduct 76 from 90 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 13:
If we divide 140 by 19, we get 7 and a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 13453.1578947
Subtracting 133 from 140 leaves us 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.

Advancing to step 14:
If we divide 70 by 19, we get 3 and a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 13453.15789473
If we take 57 away from 70, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The quotient of the division is 13453.15789473, and the remainder is 1.3e-08.