3578 divided by 55 
We want to figure out the number of times 3578 can be divided by 55.

On to step 1:
When dividing 3 by 55, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 55

On to step 2:
When dividing 35 by 55, we get 0 with a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 35 to get 35.
Fetch the next digit (7) from the dividend, attach it to 35 and continue: 357 / 55

Moving on to step 3:
55 can be fit into 357 6 times, resulting in a remainder of 27.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 330 from 357 leaves us with 27.
Fetch the next digit (8) from the dividend, attach it to 27 and continue: 278 / 55

Moving on to step 4:
55 goes into 278 5 times with a remainder of 3.
The next digit of our result is 5. 
Result so far: 65.0
Deduct 275 from 278 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 5:
The number 55 fits into 30 0 times, leaving a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 65.0
If we subtract 0 from 30, we 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.

Going ahead to step 6:
55 can be fit into 300 5 times, resulting in a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 65.05
If we take 275 away from 300, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 7:
The number 55 fits into 250 4 times, leaving a remainder of 30.
Use 4 as the next digit of our solution. 
Result so far: 65.054
Deduct 220 from 250 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.

Let's proceed to step 8:
300 divided by 55 is 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 65.0545
If we subtract 275 from 300, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 9:
55 can be fit into 250 4 times, resulting in a remainder of 30.
Record the quotient 4 as the next digit in the result. 
Result so far: 65.05454
Subtracting 220 from 250 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 10:
55 goes into 300 5 times with a remainder of 25.
The next digit of our result is 5. 
Result so far: 65.054545
If we subtract 275 from 300, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 11:
55 goes into 250 4 times with a remainder of 30.
The next digit of our result is 4. 
Result so far: 65.0545454
Deduct 220 from 250 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.

Going ahead to step 12:
300 divided by 55 is 5 with a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 65.05454545
The remainder is 25 after subtracting 275 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Our division results in 65.05454545 with a remaining 2.5e-08.