Let's divide 135901 by 19
Let's see how many times 19 fits into 135901.

Going ahead to step 1:
If we divide 1 by 19, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 19

Let's proceed to step 2:
The number 19 fits into 13 0 times, leaving a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Take the next digit (5) from the dividend and append it to 13, then repeat: 135 / 19

Moving on to step 3:
19 goes into 135 7 times with a remainder of 2.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we subtract 133 from 135, we get 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 19

Advancing to step 4:
If we divide 29 by 19, we get 1 and a remainder of 10.
Write down 1 as next digit of the result. 
Result so far: 71.0
If we subtract 19 from 29, we get 10.
Include the next digit (0) from the dividend after 10, then repeat: 100 / 19

Let's proceed to step 5:
When dividing 100 by 19, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 715.0
Subtracting 95 from 100 leaves us with 5.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 19

Going ahead to step 6:
The number 19 fits into 51 2 times, leaving a remainder of 13.
Put 2 as the next digit of the answer. 
Result so far: 7152.0
Deduct 38 from 51 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 7:
When dividing 130 by 19, we get 6 with a remainder of 16.
Record the quotient 6 as the next digit in the result. 
Result so far: 7152.6
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.

Let's proceed to step 8:
When dividing 160 by 19, we get 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 7152.68
If we subtract 152 from 160, we 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 9:
80 divided by 19 is 4 with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 7152.684
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.

Let's proceed to step 10:
19 goes into 40 2 times with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 7152.6842
Subtract 38 from 40 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 11:
When dividing 20 by 19, we get 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 7152.68421
Deduct 19 from 20 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 12:
When dividing 10 by 19, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 7152.68421
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 13:
When dividing 100 by 19, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 7152.6842105
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 14:
50 divided by 19 is 2 with a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 7152.68421052
If we take 38 away from 50, we end up 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.

After the division, we end up with 7152.68421052 and a remainder of 1.2e-08.