We're dividing 743153 by 45 
We want to divide 743153 by 45.

Advancing to step 1:
7 divided by 45 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Bring next digit (4) of the dividend behind the 7 and repeat the process: 74 / 45

Let's proceed to step 2:
If we divide 74 by 45, we get 1 and a remainder of 29.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 45 from 74 to get 29.
Grab the next digit (3) from the dividend, add it to 29, then carry on: 293 / 45

Step 3:
The number 45 fits into 293 6 times, leaving a remainder of 23.
Write down 6 as next digit of the result. 
Result so far: 16.0
Subtract 270 from 293 to get 23.
Append the next digit (1) from the dividend to 23 and continue with: 231 / 45

Going ahead to step 4:
If we divide 231 by 45, we get 5 and a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 165.0
If we subtract 225 from 231, we get 6.
Fetch the next digit (5) from the dividend, attach it to 6 and continue: 65 / 45

Advancing to step 5:
The number 45 fits into 65 1 times, leaving a remainder of 20.
Record the quotient 1 as the next digit in the result. 
Result so far: 1651.0
Deduct 45 from 65 and we're left with 20.
Append the next digit (3) from the dividend to 20 and continue with: 203 / 45

On to step 6:
203 divided by 45 is 4 with a remainder of 23.
Use 4 as the next digit of our solution. 
Result so far: 16514.0
If we subtract 180 from 203, we get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 7:
230 divided by 45 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 16514.5
If we subtract 225 from 230, 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.

Moving on to step 8:
45 goes into 50 1 times with a remainder of 5.
The next digit of our result is 1. 
Result so far: 16514.51
If we take 45 away from 50, we end up 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.

Advancing to step 9:
45 goes into 50 1 times with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 16514.511
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.

After the division, we end up with 16514.511 and a remainder of 0.0005.