We divide 135190 by 21
We're looking to find how many times 21 goes into 135190.

Advancing to step 1:
The number 21 fits into 1 0 times, leaving 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.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 21

Let's proceed to step 2:
If we divide 13 by 21, we get 0 and a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Include the next digit (5) from the dividend after 13, then repeat: 135 / 21

Let's proceed to step 3:
If we divide 135 by 21, we get 6 and a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we take 126 away from 135, we end up with 9.
Include the next digit (1) from the dividend after 9, then repeat: 91 / 21

Let's proceed to step 4:
91 divided by 21 is 4 with a remainder of 7.
Record the quotient 4 as the next digit in the result. 
Result so far: 64.0
The remainder is 7 after subtracting 84 from 91.
Take the next digit (9) from the dividend and append it to 7, then repeat: 79 / 21

On to step 5:
The number 21 fits into 79 3 times, leaving a remainder of 16.
Use 3 as the next digit of our solution. 
Result so far: 643.0
Subtracting 63 from 79 leaves us with 16.
Take the next digit (0) from the dividend and append it to 16, then repeat: 160 / 21

On to step 6:
160 divided by 21 is 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 6437.0
The remainder is 13 after subtracting 147 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
The number 21 fits into 130 6 times, leaving a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 6437.6
If we take 126 away from 130, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
When dividing 40 by 21, we get 1 with a remainder of 19.
Use 1 as the next digit of our solution. 
Result so far: 6437.61
The remainder is 19 after subtracting 21 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 9:
When dividing 190 by 21, we get 9 with a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 6437.619
Deduct 189 from 190 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.

Moving on to step 10:
10 divided by 21 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 6437.619
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.

Going ahead to step 11:
When dividing 100 by 21, we get 4 with a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 6437.61904
Deduct 84 from 100 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 12:
21 can be fit into 160 7 times, resulting in a remainder of 13.
The next digit of our result is 7. 
Result so far: 6437.619047
The remainder is 13 after subtracting 147 from 160.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 13:
21 goes into 130 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 6437.6190476
Subtract 126 from 130 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.

Going ahead to step 14:
21 can be fit into 40 1 times, resulting in a remainder of 19.
The next digit of our result is 1. 
Result so far: 6437.61904761
If we take 21 away from 40, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

The final result is 6437.61904761 with a remainder of 1.9e-08.