We're dividing 708042 by 45 
Our goal is to divide 708042 by 45.

On to step 1:
The number 45 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Bring next digit (0) of the dividend behind the 7 and repeat the process: 70 / 45

Going ahead to step 2:
The number 45 fits into 70 1 times, leaving a remainder of 25.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 45 from 70 and we're left with 25.
Fetch the next digit (8) from the dividend, attach it to 25 and continue: 258 / 45

Going ahead to step 3:
When dividing 258 by 45, we get 5 with a remainder of 33.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Subtracting 225 from 258 leaves us with 33.
Fetch the next digit (0) from the dividend, attach it to 33 and continue: 330 / 45

Let's proceed to step 4:
The number 45 fits into 330 7 times, leaving a remainder of 15.
Record the quotient 7 as the next digit in the result. 
Result so far: 157.0
If we take 315 away from 330, we end up with 15.
Bring next digit (4) of the dividend behind the 15 and repeat the process: 154 / 45

Advancing to step 5:
The number 45 fits into 154 3 times, leaving a remainder of 19.
The number 3 becomes the next digit in our result. 
Result so far: 1573.0
If we subtract 135 from 154, we get 19.
Grab the next digit (2) from the dividend, add it to 19, then carry on: 192 / 45

Going ahead to step 6:
If we divide 192 by 45, we get 4 and a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 15734.0
Subtract 180 from 192 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 7:
45 goes into 120 2 times with a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 15734.2
Subtract 90 from 120 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
45 goes into 300 6 times with a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 15734.26
Subtracting 270 from 300 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 9:
If we divide 300 by 45, we get 6 and a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 15734.266
Deduct 270 from 300 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

In conclusion, the division gives 15734.266 with a balance of 0.003.