Let's divide 135321 by 45
We want to divide 135321 by 45.

On to step 1:
When dividing 1 by 45, we get 0 with 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.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 45

Going ahead to step 2:
When dividing 13 by 45, we get 0 with a remainder of 13.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 45

Let's proceed to step 3:
45 can be fit into 135 3 times, resulting in a remainder of 0.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 135 from 135, we get 0.
Append the next digit (3) from the dividend to 0 and continue with: 3 / 45

Step 4:
If we divide 3 by 45, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 30.0
Deduct 0 from 3 and we're left with 3.
Bring next digit (2) of the dividend behind the 3 and repeat the process: 32 / 45

Let's proceed to step 5:
45 can be fit into 32 0 times, resulting in a remainder of 32.
The next digit of our result is 0. 
Result so far: 300.0
Subtract 0 from 32 to get 32.
Include the next digit (1) from the dividend after 32, then repeat: 321 / 45

Advancing to step 6:
45 goes into 321 7 times with a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 3007.0
Deduct 315 from 321 and we're left 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.

Let's proceed to step 7:
The number 45 fits into 60 1 times, leaving a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 3007.1
Deduct 45 from 60 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 8:
If we divide 150 by 45, we get 3 and a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 3007.13
Subtract 135 from 150 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.

Step 9:
150 divided by 45 is 3 with a remainder of 15.
The next digit of our result is 3. 
Result so far: 3007.133
Subtract 135 from 150 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 3007.133 and a remainder of 0.0015.