358680 ÷ 45 
Our goal is to divide 358680 by 45.

On to step 1:
When dividing 3 by 45, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 45

Let's proceed to step 2:
If we divide 35 by 45, we get 0 and a remainder of 35.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Grab the next digit (8) from the dividend, add it to 35, then carry on: 358 / 45

Moving on to step 3:
45 goes into 358 7 times with a remainder of 43.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
The remainder is 43 after subtracting 315 from 358.
Append the next digit (6) from the dividend to 43 and continue with: 436 / 45

Step 4:
The number 45 fits into 436 9 times, leaving a remainder of 31.
The next digit of our result is 9. 
Result so far: 79.0
The remainder is 31 after subtracting 405 from 436.
Append the next digit (8) from the dividend to 31 and continue with: 318 / 45

Let's proceed to step 5:
If we divide 318 by 45, we get 7 and a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 797.0
Deduct 315 from 318 and we're left with 3.
Take the next digit (0) from the dividend and append it to 3, then repeat: 30 / 45

Let's proceed to step 6:
45 goes into 30 0 times with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 7970.0
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 7:
When dividing 300 by 45, we get 6 with a remainder of 30.
Write down 6 as next digit of the result. 
Result so far: 7970.6
Subtract 270 from 300 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:
The number 45 fits into 300 6 times, leaving a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 7970.66
The remainder is 30 after subtracting 270 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final result is 7970.66 with a remainder of 0.03.