Let's divide 725109 by 45
We want to divide 725109 by 45.

Moving on to step 1:
45 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (2) from the dividend, attach it to 7 and continue: 72 / 45

On to step 2:
If we divide 72 by 45, we get 1 and a remainder of 27.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 45 from 72 and we're left with 27.
Grab the next digit (5) from the dividend, add it to 27, then carry on: 275 / 45

Going ahead to step 3:
If we divide 275 by 45, we get 6 and a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 16.0
Deduct 270 from 275 and we're left with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 45

On to step 4:
45 can be fit into 51 1 times, resulting in a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 161.0
Subtract 45 from 51 to get 6.
Take the next digit (0) from the dividend and append it to 6, then repeat: 60 / 45

Step 5:
When dividing 60 by 45, we get 1 with a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 1611.0
Deduct 45 from 60 and we're left with 15.
Append the next digit (9) from the dividend to 15 and continue with: 159 / 45

Going ahead to step 6:
45 can be fit into 159 3 times, resulting in a remainder of 24.
The number 3 becomes the next digit in our result. 
Result so far: 16113.0
Subtracting 135 from 159 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 7:
If we divide 240 by 45, we get 5 and a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 16113.5
Subtract 225 from 240 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.

Step 8:
When dividing 150 by 45, we get 3 with a remainder of 15.
The next digit of our result is 3. 
Result so far: 16113.53
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.

Advancing to step 9:
45 can be fit into 150 3 times, resulting in a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 16113.533
Deduct 135 from 150 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.

The quotient of the division is 16113.533, and the remainder is 0.0015.