Let's divide 320353 by 45
We want to divide 320353 by 45.

Going ahead to step 1:
45 can be fit into 3 0 times, resulting in a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (2) from the dividend, add it to 3, then carry on: 32 / 45

Moving on to step 2:
If we divide 32 by 45, we get 0 and a remainder of 32.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 32 leaves us with 32.
Append the next digit (0) from the dividend to 32 and continue with: 320 / 45

On to step 3:
If we divide 320 by 45, we get 7 and a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtracting 315 from 320 leaves us with 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 45

Step 4:
53 divided by 45 is 1 with a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 71.0
Deduct 45 from 53 and we're left with 8.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 45

On to step 5:
The number 45 fits into 85 1 times, leaving a remainder of 40.
The next digit of our result is 1. 
Result so far: 711.0
If we subtract 45 from 85, we get 40.
Append the next digit (3) from the dividend to 40 and continue with: 403 / 45

Moving on to step 6:
403 divided by 45 is 8 with a remainder of 43.
Record the quotient 8 as the next digit in the result. 
Result so far: 7118.0
Subtract 360 from 403 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 7:
430 divided by 45 is 9 with a remainder of 25.
Record the quotient 9 as the next digit in the result. 
Result so far: 7118.9
Subtract 405 from 430 to get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 8:
The number 45 fits into 250 5 times, leaving a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 7118.95
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 9:
45 can be fit into 250 5 times, resulting in a remainder of 25.
The next digit of our result is 5. 
Result so far: 7118.955
If we subtract 225 from 250, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Our division results in 7118.955 with a remaining 0.0025.