We divide 257395 by 19
Our goal is to divide 257395 by 19.

Step 1:
The number 19 fits into 2 0 times, leaving a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Fetch the next digit (5) from the dividend, attach it to 2 and continue: 25 / 19

Going ahead to step 2:
The number 19 fits into 25 1 times, leaving a remainder of 6.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 19 from 25 leaves us with 6.
Bring next digit (7) of the dividend behind the 6 and repeat the process: 67 / 19

Let's proceed to step 3:
19 goes into 67 3 times with a remainder of 10.
The next digit of our result is 3. 
Result so far: 13.0
If we take 57 away from 67, we end up with 10.
Grab the next digit (3) from the dividend, add it to 10, then carry on: 103 / 19

Step 4:
The number 19 fits into 103 5 times, leaving a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 135.0
Subtract 95 from 103 to get 8.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 19

On to step 5:
19 goes into 89 4 times with a remainder of 13.
The number 4 becomes the next digit in our result. 
Result so far: 1354.0
If we take 76 away from 89, we end up with 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 19

Moving on to step 6:
19 can be fit into 135 7 times, resulting in a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 13547.0
The remainder is 2 after subtracting 133 from 135.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 7:
When dividing 20 by 19, we get 1 with a remainder of 1.
The number 1 becomes the next digit in our result. 
Result so far: 13547.1
Subtract 19 from 20 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
19 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 13547.1
Subtract 0 from 10 to get 10.
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 9:
100 divided by 19 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 13547.105
If we take 95 away from 100, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 10:
The number 19 fits into 50 2 times, leaving a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 13547.1052
If we take 38 away from 50, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 11:
When dividing 120 by 19, we get 6 with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 13547.10526
If we subtract 114 from 120, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 12:
When dividing 60 by 19, we get 3 with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 13547.105263
Subtracting 57 from 60 leaves us 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.

Step 13:
When dividing 30 by 19, we get 1 with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 13547.1052631
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 14:
The number 19 fits into 110 5 times, leaving a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 13547.10526315
The remainder is 15 after subtracting 95 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

After the division, we end up with 13547.10526315 and a remainder of 1.5e-08.