103029 ÷ 45 
Let's see how many times 45 fits into 103029.

Advancing to step 1:
When dividing 1 by 45, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 45

On to step 2:
45 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Bring next digit (3) of the dividend behind the 10 and repeat the process: 103 / 45

Moving on to step 3:
When dividing 103 by 45, we get 2 with a remainder of 13.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtract 90 from 103 to get 13.
Fetch the next digit (0) from the dividend, attach it to 13 and continue: 130 / 45

Moving on to step 4:
If we divide 130 by 45, we get 2 and a remainder of 40.
Record the quotient 2 as the next digit in the result. 
Result so far: 22.0
Deduct 90 from 130 and we're left with 40.
Append the next digit (2) from the dividend to 40 and continue with: 402 / 45

Going ahead to step 5:
If we divide 402 by 45, we get 8 and a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 228.0
Deduct 360 from 402 and we're left with 42.
Take the next digit (9) from the dividend and append it to 42, then repeat: 429 / 45

Step 6:
429 divided by 45 is 9 with a remainder of 24.
Put 9 as the next digit of the answer. 
Result so far: 2289.0
Subtract 405 from 429 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 7:
45 goes into 240 5 times with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 2289.5
Subtracting 225 from 240 leaves us 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.

On 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: 2289.53
Subtracting 135 from 150 leaves us 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 9:
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: 2289.533
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 2289.533 and a remainder of 0.0015.