We're dividing 85901 by 19 
Let's see how many times 19 fits into 85901.

Let's proceed to step 1:
19 can be fit into 8 0 times, resulting in a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Fetch the next digit (5) from the dividend, attach it to 8 and continue: 85 / 19

Let's proceed to step 2:
19 goes into 85 4 times with a remainder of 9.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Deduct 76 from 85 and we're left with 9.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 19

Going ahead to step 3:
19 goes into 99 5 times with a remainder of 4.
Record the quotient 5 as the next digit in the result. 
Result so far: 45.0
The remainder is 4 after subtracting 95 from 99.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 19

Advancing to step 4:
19 can be fit into 40 2 times, resulting in a remainder of 2.
The next digit of our result is 2. 
Result so far: 452.0
Deduct 38 from 40 and we're left with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 19

On to step 5:
19 goes into 21 1 times with a remainder of 2.
Record the quotient 1 as the next digit in the result. 
Result so far: 4521.0
The remainder is 2 after subtracting 19 from 21.
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 6:
20 divided by 19 is 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 4521.1
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.

Advancing to step 7:
10 divided by 19 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 4521.1
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.

Advancing to step 8:
The number 19 fits into 100 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 4521.105
Deduct 95 from 100 and we're left 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:
When dividing 50 by 19, we get 2 with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 4521.1052
Deduct 38 from 50 and we're left 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.

Advancing to step 10:
19 can be fit into 120 6 times, resulting in a remainder of 6.
The next digit of our result is 6. 
Result so far: 4521.10526
If we subtract 114 from 120, we 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.

Advancing to step 11:
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: 4521.105263
Subtract 57 from 60 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 12:
30 divided by 19 is 1 with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 4521.1052631
If we take 19 away from 30, we end up with 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:
When dividing 110 by 19, we get 5 with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 4521.10526315
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.

After the division, we end up with 4521.10526315 and a remainder of 1.5e-08.