We're dividing 32342 by 45 
We want to figure out the number of times 32342 can be divided by 45.

On to step 1:
45 can be fit into 3 0 times, resulting in a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (2) from the dividend, attach it to 3 and continue: 32 / 45

Let's proceed to step 2:
When dividing 32 by 45, we get 0 with a remainder of 32.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 32, we end up with 32.
Bring next digit (3) of the dividend behind the 32 and repeat the process: 323 / 45

On to step 3:
323 divided by 45 is 7 with a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we subtract 315 from 323, we get 8.
Append the next digit (4) from the dividend to 8 and continue with: 84 / 45

Advancing to step 4:
45 can be fit into 84 1 times, resulting in a remainder of 39.
Write down 1 as next digit of the result. 
Result so far: 71.0
If we subtract 45 from 84, we get 39.
Grab the next digit (2) from the dividend, add it to 39, then carry on: 392 / 45

Step 5:
If we divide 392 by 45, we get 8 and a remainder of 32.
Put 8 as the next digit of the answer. 
Result so far: 718.0
Subtract 360 from 392 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 6:
45 can be fit into 320 7 times, resulting in a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 718.7
Subtracting 315 from 320 leaves us 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 7:
The number 45 fits into 50 1 times, leaving a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 718.71
Deduct 45 from 50 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.

Step 8:
The number 45 fits into 50 1 times, leaving a remainder of 5.
Put 1 as the next digit of the answer. 
Result so far: 718.711
If we subtract 45 from 50, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The final result is 718.711 with a remainder of 0.0005.