We look at the division of 133525 by 19 
Our goal is to divide 133525 by 19.

Step 1:
The number 19 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 19

Going ahead to step 2:
If we divide 13 by 19, we get 0 and a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 13, we end up with 13.
Include the next digit (3) from the dividend after 13, then repeat: 133 / 19

On to step 3:
19 can be fit into 133 7 times, resulting in a remainder of 0.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 133 from 133 and we're left with 0.
Take the next digit (5) from the dividend and append it to 0, then repeat: 5 / 19

On to step 4:
If we divide 5 by 19, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 70.0
If we subtract 0 from 5, we get 5.
Include the next digit (2) from the dividend after 5, then repeat: 52 / 19

Moving on to step 5:
When dividing 52 by 19, we get 2 with a remainder of 14.
The next digit of our result is 2. 
Result so far: 702.0
Deduct 38 from 52 and we're left with 14.
Bring next digit (5) of the dividend behind the 14 and repeat the process: 145 / 19

Moving on to step 6:
The number 19 fits into 145 7 times, leaving a remainder of 12.
The next digit of our result is 7. 
Result so far: 7027.0
If we take 133 away from 145, 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.

Moving on to step 7:
The number 19 fits into 120 6 times, leaving a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 7027.6
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.

Going ahead to step 8:
19 goes into 60 3 times with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 7027.63
Deduct 57 from 60 and we're left 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.

Let's proceed to step 9:
The number 19 fits into 30 1 times, leaving a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 7027.631
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.

Step 10:
19 goes into 110 5 times with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 7027.6315
If we take 95 away from 110, we end up 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.

Advancing to step 11:
When dividing 150 by 19, we get 7 with a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 7027.63157
Subtracting 133 from 150 leaves us 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.

Advancing to step 12:
The number 19 fits into 170 8 times, leaving a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 7027.631578
If we subtract 152 from 170, we 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.

On to step 13:
The number 19 fits into 180 9 times, leaving a remainder of 9.
The next digit of our result is 9. 
Result so far: 7027.6315789
Subtracting 171 from 180 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 14:
19 can be fit into 90 4 times, resulting in a remainder of 14.
The next digit of our result is 4. 
Result so far: 7027.63157894
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.

Our division results in 7027.63157894 with a remaining 1.4e-08.