We look at the division of 147365 by 45 
We want to divide 147365 by 45.

Step 1:
When dividing 1 by 45, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 45

Step 2:
The number 45 fits into 14 0 times, leaving a remainder of 14.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 14 after subtracting 0 from 14.
Grab the next digit (7) from the dividend, add it to 14, then carry on: 147 / 45

On to step 3:
45 can be fit into 147 3 times, resulting in a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtracting 135 from 147 leaves us with 12.
Append the next digit (3) from the dividend to 12 and continue with: 123 / 45

Step 4:
The number 45 fits into 123 2 times, leaving a remainder of 33.
Use 2 as the next digit of our solution. 
Result so far: 32.0
Subtracting 90 from 123 leaves us with 33.
Bring next digit (6) of the dividend behind the 33 and repeat the process: 336 / 45

Let's proceed to step 5:
336 divided by 45 is 7 with a remainder of 21.
Write down 7 as next digit of the result. 
Result so far: 327.0
Deduct 315 from 336 and we're left with 21.
Take the next digit (5) from the dividend and append it to 21, then repeat: 215 / 45

On to step 6:
The number 45 fits into 215 4 times, leaving a remainder of 35.
Put 4 as the next digit of the answer. 
Result so far: 3274.0
If we subtract 180 from 215, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 7:
When dividing 350 by 45, we get 7 with a remainder of 35.
Record the quotient 7 as the next digit in the result. 
Result so far: 3274.7
Deduct 315 from 350 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 8:
If we divide 350 by 45, we get 7 and a remainder of 35.
Record the quotient 7 as the next digit in the result. 
Result so far: 3274.77
Subtract 315 from 350 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Our division results in 3274.77 with a remaining 0.035.