Let's divide 262690 by 19
We want to figure out the number of times 262690 can be divided by 19.

Step 1:
If we divide 2 by 19, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Take the next digit (6) from the dividend and append it to 2, then repeat: 26 / 19

On to step 2:
19 can be fit into 26 1 times, resulting in a remainder of 7.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 19 from 26, we get 7.
Grab the next digit (2) from the dividend, add it to 7, then carry on: 72 / 19

On to step 3:
72 divided by 19 is 3 with a remainder of 15.
Write down 3 as next digit of the result. 
Result so far: 13.0
Subtracting 57 from 72 leaves us with 15.
Include the next digit (6) from the dividend after 15, then repeat: 156 / 19

Moving on to step 4:
The number 19 fits into 156 8 times, leaving a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 138.0
Subtracting 152 from 156 leaves us with 4.
Take the next digit (9) from the dividend and append it to 4, then repeat: 49 / 19

On to step 5:
19 can be fit into 49 2 times, resulting in a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 1382.0
Subtracting 38 from 49 leaves us with 11.
Fetch the next digit (0) from the dividend, attach it to 11 and continue: 110 / 19

Advancing to step 6:
19 can be fit into 110 5 times, resulting in a remainder of 15.
The next digit of our result is 5. 
Result so far: 13825.0
Deduct 95 from 110 and we're left with 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 7:
19 can be fit into 150 7 times, resulting in a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 13825.7
If we take 133 away from 150, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 8:
If we divide 170 by 19, we get 8 and a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 13825.78
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 9:
19 can be fit into 180 9 times, resulting in a remainder of 9.
The next digit of our result is 9. 
Result so far: 13825.789
Subtract 171 from 180 to 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.

Step 10:
90 divided by 19 is 4 with a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 13825.7894
If we take 76 away from 90, we end up 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.

Let's proceed to step 11:
If we divide 140 by 19, we get 7 and a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 13825.78947
If we subtract 133 from 140, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 12:
The number 19 fits into 70 3 times, leaving a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 13825.789473
Subtract 57 from 70 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 13:
19 can be fit into 130 6 times, resulting in a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 13825.7894736
If we subtract 114 from 130, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 14:
When dividing 160 by 19, we get 8 with a remainder of 8.
The next digit of our result is 8. 
Result so far: 13825.78947368
Subtract 152 from 160 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 13825.78947368 with a remaining 8e-09.