We look at the division of 3488 by 45 
We want to figure out the number of times 3488 can be divided by 45.

Step 1:
45 can be fit into 3 0 times, resulting in a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (4) from the dividend, attach it to 3 and continue: 34 / 45

Let's proceed to step 2:
The number 45 fits into 34 0 times, leaving a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 34, we end up with 34.
Bring next digit (8) of the dividend behind the 34 and repeat the process: 348 / 45

Let's proceed to step 3:
The number 45 fits into 348 7 times, leaving a remainder of 33.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we subtract 315 from 348, we get 33.
Take the next digit (8) from the dividend and append it to 33, then repeat: 338 / 45

Going ahead to step 4:
The number 45 fits into 338 7 times, leaving a remainder of 23.
The next digit of our result is 7. 
Result so far: 77.0
Subtract 315 from 338 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 5:
230 divided by 45 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 77.5
Subtract 225 from 230 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 6:
45 can be fit into 50 1 times, resulting in a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 77.51
If we take 45 away from 50, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
When dividing 50 by 45, we get 1 with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 77.511
If we take 45 away from 50, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Our division results in 77.511 with a remaining 0.0005.