709625 divided by 45 
We want to figure out the number of times 709625 can be divided by 45.

Step 1:
The number 45 fits into 7 0 times, leaving a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 45

Advancing to step 2:
If we divide 70 by 45, we get 1 and a remainder of 25.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 25 after subtracting 45 from 70.
Bring next digit (9) of the dividend behind the 25 and repeat the process: 259 / 45

Moving on to step 3:
259 divided by 45 is 5 with a remainder of 34.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
If we take 225 away from 259, we end up with 34.
Grab the next digit (6) from the dividend, add it to 34, then carry on: 346 / 45

Moving on to step 4:
45 can be fit into 346 7 times, resulting in a remainder of 31.
The next digit of our result is 7. 
Result so far: 157.0
If we subtract 315 from 346, we get 31.
Bring next digit (2) of the dividend behind the 31 and repeat the process: 312 / 45

Step 5:
312 divided by 45 is 6 with a remainder of 42.
Use 6 as the next digit of our solution. 
Result so far: 1576.0
If we take 270 away from 312, we end up with 42.
Bring next digit (5) of the dividend behind the 42 and repeat the process: 425 / 45

On to step 6:
45 can be fit into 425 9 times, resulting in a remainder of 20.
Put 9 as the next digit of the answer. 
Result so far: 15769.0
Subtract 405 from 425 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 7:
45 can be fit into 200 4 times, resulting in a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 15769.4
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
45 can be fit into 200 4 times, resulting in a remainder of 20.
Put 4 as the next digit of the answer. 
Result so far: 15769.44
The remainder is 20 after subtracting 180 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 15769.44 with a remainder of 0.02.