We're dividing 107845 by 19 
We're looking to find how many times 19 goes into 107845.

Moving on to step 1:
19 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 19

Step 2:
If we divide 10 by 19, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Include the next digit (7) from the dividend after 10, then repeat: 107 / 19

Going ahead to step 3:
The number 19 fits into 107 5 times, leaving a remainder of 12.
The next digit of our result is 5. 
Result so far: 5.0
If we subtract 95 from 107, we get 12.
Append the next digit (8) from the dividend to 12 and continue with: 128 / 19

Step 4:
When dividing 128 by 19, we get 6 with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 56.0
If we subtract 114 from 128, we get 14.
Include the next digit (4) from the dividend after 14, then repeat: 144 / 19

On to step 5:
If we divide 144 by 19, we get 7 and a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 567.0
If we take 133 away from 144, we end up with 11.
Append the next digit (5) from the dividend to 11 and continue with: 115 / 19

On to step 6:
The number 19 fits into 115 6 times, leaving a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 5676.0
Subtract 114 from 115 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.

Step 7:
When dividing 10 by 19, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 5676.0
If we subtract 0 from 10, we 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 8:
When dividing 100 by 19, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 5676.05
Subtracting 95 from 100 leaves us 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.

On to step 9:
19 can be fit into 50 2 times, resulting in a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 5676.052
If we subtract 38 from 50, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 10:
If we divide 120 by 19, we get 6 and a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 5676.0526
Subtracting 114 from 120 leaves us 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 11:
19 goes into 60 3 times with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 5676.05263
If we take 57 away from 60, we end up 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.

Going ahead to step 12:
The number 19 fits into 30 1 times, leaving a remainder of 11.
The next digit of our result is 1. 
Result so far: 5676.052631
Subtract 19 from 30 to 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.

Going ahead to step 13:
19 goes into 110 5 times with a remainder of 15.
The next digit of our result is 5. 
Result so far: 5676.0526315
Subtract 95 from 110 to 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 14:
19 goes into 150 7 times with a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 5676.05263157
Deduct 133 from 150 and we're left 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.

The final result is 5676.05263157 with a remainder of 1.7e-08.