707341 ÷ 45 
Our goal is to divide 707341 by 45.

Going ahead to step 1:
45 can be fit into 7 0 times, resulting in a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (0) from the dividend, attach it to 7 and continue: 70 / 45

Going ahead to step 2:
70 divided by 45 is 1 with a remainder of 25.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 45 from 70 to get 25.
Grab the next digit (7) from the dividend, add it to 25, then carry on: 257 / 45

Moving on to step 3:
When dividing 257 by 45, we get 5 with a remainder of 32.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
If we take 225 away from 257, we end up with 32.
Take the next digit (3) from the dividend and append it to 32, then repeat: 323 / 45

Moving on to step 4:
45 can be fit into 323 7 times, resulting in a remainder of 8.
Use 7 as the next digit of our solution. 
Result so far: 157.0
Subtract 315 from 323 to get 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 45

Advancing to step 5:
84 divided by 45 is 1 with a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 1571.0
If we take 45 away from 84, we end up with 39.
Take the next digit (1) from the dividend and append it to 39, then repeat: 391 / 45

Step 6:
45 goes into 391 8 times with a remainder of 31.
The next digit of our result is 8. 
Result so far: 15718.0
Subtract 360 from 391 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 7:
When dividing 310 by 45, we get 6 with a remainder of 40.
The next digit of our result is 6. 
Result so far: 15718.6
If we take 270 away from 310, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
45 can be fit into 400 8 times, resulting in a remainder of 40.
The next digit of our result is 8. 
Result so far: 15718.68
Subtract 360 from 400 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 9:
The number 45 fits into 400 8 times, leaving a remainder of 40.
Use 8 as the next digit of our solution. 
Result so far: 15718.688
The remainder is 40 after subtracting 360 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

After the division, we end up with 15718.688 and a remainder of 0.004.