152203 ÷ 45 
We're looking to find how many times 45 goes into 152203.

Let's proceed to step 1:
45 goes into 1 0 times with 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.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 45

Let's proceed to step 2:
The number 45 fits into 15 0 times, leaving a remainder of 15.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 15 leaves us with 15.
Grab the next digit (2) from the dividend, add it to 15, then carry on: 152 / 45

Let's proceed to step 3:
If we divide 152 by 45, we get 3 and a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
The remainder is 17 after subtracting 135 from 152.
Bring next digit (2) of the dividend behind the 17 and repeat the process: 172 / 45

Going ahead to step 4:
172 divided by 45 is 3 with a remainder of 37.
Put 3 as the next digit of the answer. 
Result so far: 33.0
If we subtract 135 from 172, we get 37.
Grab the next digit (0) from the dividend, add it to 37, then carry on: 370 / 45

Moving on to step 5:
If we divide 370 by 45, we get 8 and a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 338.0
If we subtract 360 from 370, we get 10.
Append the next digit (3) from the dividend to 10 and continue with: 103 / 45

Let's proceed to step 6:
103 divided by 45 is 2 with a remainder of 13.
Write down 2 as next digit of the result. 
Result so far: 3382.0
Subtract 90 from 103 to get 13.
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 7:
45 can be fit into 130 2 times, resulting in a remainder of 40.
Write down 2 as next digit of the result. 
Result so far: 3382.2
The remainder is 40 after subtracting 90 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
400 divided by 45 is 8 with a remainder of 40.
Write down 8 as next digit of the result. 
Result so far: 3382.28
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 9:
When dividing 400 by 45, we get 8 with a remainder of 40.
The next digit of our result is 8. 
Result so far: 3382.288
Deduct 360 from 400 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

In conclusion, the division gives 3382.288 with a balance of 0.004.