We look at the division of 132645 by 19 
We're looking to find how many times 19 goes into 132645.

Step 1:
19 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 19

Let's proceed to step 2:
13 divided by 19 is 0 with a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Fetch the next digit (2) from the dividend, attach it to 13 and continue: 132 / 19

Step 3:
When dividing 132 by 19, we get 6 with a remainder of 18.
The next digit of our result is 6. 
Result so far: 6.0
Subtract 114 from 132 to get 18.
Include the next digit (6) from the dividend after 18, then repeat: 186 / 19

Moving on to step 4:
19 goes into 186 9 times with a remainder of 15.
Write down 9 as next digit of the result. 
Result so far: 69.0
If we take 171 away from 186, we end up with 15.
Fetch the next digit (4) from the dividend, attach it to 15 and continue: 154 / 19

Moving on to step 5:
19 goes into 154 8 times with a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 698.0
Subtracting 152 from 154 leaves us with 2.
Bring next digit (5) of the dividend behind the 2 and repeat the process: 25 / 19

Moving on to step 6:
The number 19 fits into 25 1 times, leaving a remainder of 6.
The next digit of our result is 1. 
Result so far: 6981.0
If we take 19 away from 25, we end up 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.

Step 7:
If we divide 60 by 19, we get 3 and a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 6981.3
If we subtract 57 from 60, we 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.

Step 8:
19 goes into 30 1 times with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 6981.31
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.

Moving on to step 9:
The number 19 fits into 110 5 times, leaving a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 6981.315
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.

Let's proceed to step 10:
When dividing 150 by 19, we get 7 with a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 6981.3157
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.

On to step 11:
170 divided by 19 is 8 with a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 6981.31578
Deduct 152 from 170 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

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: 6981.315789
The remainder is 9 after subtracting 171 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 13:
90 divided by 19 is 4 with a remainder of 14.
The next digit of our result is 4. 
Result so far: 6981.3157894
The remainder is 14 after subtracting 76 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 14:
When dividing 140 by 19, we get 7 with a remainder of 7.
The next digit of our result is 7. 
Result so far: 6981.31578947
Subtract 133 from 140 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final result is 6981.31578947 with a remainder of 7e-09.