262170 ÷ 19 
Let's see how many times 19 fits into 262170.

Advancing to step 1:
The number 19 fits into 2 0 times, leaving a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 19

Advancing to step 2:
26 divided by 19 is 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 7 after subtracting 19 from 26.
Fetch the next digit (2) from the dividend, attach it to 7 and continue: 72 / 19

Moving on to step 3:
If we divide 72 by 19, we get 3 and a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
Subtracting 57 from 72 leaves us with 15.
Append the next digit (1) from the dividend to 15 and continue with: 151 / 19

Moving on to step 4:
When dividing 151 by 19, we get 7 with a remainder of 18.
Record the quotient 7 as the next digit in the result. 
Result so far: 137.0
Subtract 133 from 151 to get 18.
Bring next digit (7) of the dividend behind the 18 and repeat the process: 187 / 19

On to step 5:
The number 19 fits into 187 9 times, leaving a remainder of 16.
The number 9 becomes the next digit in our result. 
Result so far: 1379.0
If we subtract 171 from 187, we get 16.
Append the next digit (0) from the dividend to 16 and continue with: 160 / 19

Step 6:
When dividing 160 by 19, we get 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 13798.0
Subtracting 152 from 160 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 7:
80 divided by 19 is 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 13798.4
If we take 76 away from 80, we end up 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.

Step 8:
If we divide 40 by 19, we get 2 and a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 13798.42
If we take 38 away from 40, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 9:
19 goes into 20 1 times with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 13798.421
The remainder is 1 after subtracting 19 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 10:
19 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 13798.421
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 11:
When dividing 100 by 19, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 13798.42105
The remainder is 5 after subtracting 95 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 12:
19 goes into 50 2 times with a remainder of 12.
The next digit of our result is 2. 
Result so far: 13798.421052
The remainder is 12 after subtracting 38 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 13:
When dividing 120 by 19, we get 6 with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 13798.4210526
Subtract 114 from 120 to 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.

Let's proceed to step 14:
19 can be fit into 60 3 times, resulting in a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 13798.42105263
Deduct 57 from 60 and we're left 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.

After the division, we end up with 13798.42105263 and a remainder of 3e-09.