703653 ÷ 45 
We're looking to find how many times 45 goes into 703653.

Step 1:
When dividing 7 by 45, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Append the next digit (0) from the dividend to 7 and continue with: 70 / 45

Going ahead to step 2:
When dividing 70 by 45, we get 1 with a remainder of 25.
The next digit of our result is 1. 
Result so far: 1.0
If we take 45 away from 70, we end up with 25.
Fetch the next digit (3) from the dividend, attach it to 25 and continue: 253 / 45

On to step 3:
253 divided by 45 is 5 with a remainder of 28.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
If we take 225 away from 253, we end up with 28.
Append the next digit (6) from the dividend to 28 and continue with: 286 / 45

Advancing to step 4:
45 can be fit into 286 6 times, resulting in a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 156.0
Deduct 270 from 286 and we're left with 16.
Include the next digit (5) from the dividend after 16, then repeat: 165 / 45

Advancing to step 5:
When dividing 165 by 45, we get 3 with a remainder of 30.
Use 3 as the next digit of our solution. 
Result so far: 1563.0
If we take 135 away from 165, we end up with 30.
Grab the next digit (3) from the dividend, add it to 30, then carry on: 303 / 45

Step 6:
When dividing 303 by 45, we get 6 with a remainder of 33.
Record the quotient 6 as the next digit in the result. 
Result so far: 15636.0
The remainder is 33 after subtracting 270 from 303.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 7:
If we divide 330 by 45, we get 7 and a remainder of 15.
The number 7 becomes the next digit in our result. 
Result so far: 15636.7
Deduct 315 from 330 and we're left 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.

Going ahead to step 8:
When dividing 150 by 45, we get 3 with a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 15636.73
If we subtract 135 from 150, we 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.

Moving on to step 9:
150 divided by 45 is 3 with a remainder of 15.
The next digit of our result is 3. 
Result so far: 15636.733
If we subtract 135 from 150, we 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.

Our division results in 15636.733 with a remaining 0.0015.