Let's divide 345637 by 19
We're looking to find how many times 19 goes into 345637.

On to step 1:
The number 19 fits into 3 0 times, leaving a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 19

Going ahead to step 2:
If we divide 34 by 19, we get 1 and a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 15 after subtracting 19 from 34.
Include the next digit (5) from the dividend after 15, then repeat: 155 / 19

On to step 3:
19 goes into 155 8 times with a remainder of 3.
The next digit of our result is 8. 
Result so far: 18.0
Subtracting 152 from 155 leaves us with 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 19

Going ahead to step 4:
19 goes into 36 1 times with a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 181.0
The remainder is 17 after subtracting 19 from 36.
Append the next digit (3) from the dividend to 17 and continue with: 173 / 19

Step 5:
173 divided by 19 is 9 with a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 1819.0
Deduct 171 from 173 and we're left with 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 19

Let's proceed to step 6:
19 can be fit into 27 1 times, resulting in a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 18191.0
Subtract 19 from 27 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.

Step 7:
19 goes into 80 4 times with a remainder of 4.
The next digit of our result is 4. 
Result so far: 18191.4
Subtract 76 from 80 to get 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.
The next digit of our result is 2. 
Result so far: 18191.42
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.

Moving on to step 9:
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: 18191.421
If we subtract 19 from 20, we 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.

Advancing to step 10:
19 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 18191.421
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.

Moving on to step 11:
19 can be fit into 100 5 times, resulting in a remainder of 5.
The next digit of our result is 5. 
Result so far: 18191.42105
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.

Advancing to step 12:
19 can be fit into 50 2 times, resulting in a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 18191.421052
Subtracting 38 from 50 leaves us 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.

Let's proceed to step 13:
When dividing 120 by 19, we get 6 with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 18191.4210526
If we take 114 away from 120, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 14:
When dividing 60 by 19, we get 3 with a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 18191.42105263
The remainder is 3 after subtracting 57 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The final outcome is 18191.42105263, with a leftover of 3e-09.