We look at the division of 85645 by 19 
We want to divide 85645 by 19.

Step 1:
The number 19 fits into 8 0 times, leaving a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Append the next digit (5) from the dividend to 8 and continue with: 85 / 19

On to step 2:
The number 19 fits into 85 4 times, leaving a remainder of 9.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we subtract 76 from 85, we get 9.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 19

Advancing to step 3:
96 divided by 19 is 5 with a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 45.0
Subtract 95 from 96 to get 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 19

Moving on to step 4:
14 divided by 19 is 0 with a remainder of 14.
The next digit of our result is 0. 
Result so far: 450.0
The remainder is 14 after subtracting 0 from 14.
Grab the next digit (5) from the dividend, add it to 14, then carry on: 145 / 19

Advancing to step 5:
19 can be fit into 145 7 times, resulting in a remainder of 12.
The next digit of our result is 7. 
Result so far: 4507.0
The remainder is 12 after subtracting 133 from 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 6:
If we divide 120 by 19, we get 6 and a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 4507.6
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 7:
19 can be fit into 60 3 times, resulting in a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 4507.63
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.

Going ahead to step 8:
30 divided by 19 is 1 with a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 4507.631
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.

Advancing to step 9:
If we divide 110 by 19, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 4507.6315
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.

Step 10:
If we divide 150 by 19, we get 7 and a remainder of 17.
The next digit of our result is 7. 
Result so far: 4507.63157
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.

Let's proceed to step 11:
When dividing 170 by 19, we get 8 with a remainder of 18.
The next digit of our result is 8. 
Result so far: 4507.631578
Subtract 152 from 170 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 12:
If we divide 180 by 19, we get 9 and a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 4507.6315789
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.

Going ahead to step 13:
19 goes into 90 4 times with a remainder of 14.
The next digit of our result is 4. 
Result so far: 4507.63157894
If we subtract 76 from 90, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 4507.63157894, and the remainder is 1.4e-08.