4468 divided by 44 
We want to figure out the number of times 4468 can be divided by 44.

Advancing to step 1:
4 divided by 44 is 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 44

Moving on to step 2:
When dividing 44 by 44, we get 1 with a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 44 from 44 to get 0.
Append the next digit (6) from the dividend to 0 and continue with: 6 / 44

Advancing to step 3:
When dividing 6 by 44, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we take 0 away from 6, we end up with 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 44

Advancing to step 4:
44 goes into 68 1 times with a remainder of 24.
Write down 1 as next digit of the result. 
Result so far: 101.0
If we take 44 away from 68, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 5:
44 goes into 240 5 times with a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 101.5
Deduct 220 from 240 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 6:
If we divide 200 by 44, we get 4 and a remainder of 24.
Put 4 as the next digit of the answer. 
Result so far: 101.54
Deduct 176 from 200 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 7:
44 goes into 240 5 times with a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 101.545
If we subtract 220 from 240, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
The number 44 fits into 200 4 times, leaving a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 101.5454
If we subtract 176 from 200, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 9:
When dividing 240 by 44, we get 5 with a remainder of 20.
The next digit of our result is 5. 
Result so far: 101.54545
If we subtract 220 from 240, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 10:
44 goes into 200 4 times with a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 101.545454
The remainder is 24 after subtracting 176 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 11:
44 can be fit into 240 5 times, resulting in a remainder of 20.
The next digit of our result is 5. 
Result so far: 101.5454545
Subtracting 220 from 240 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 12:
The number 44 fits into 200 4 times, leaving a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 101.54545454
If we subtract 176 from 200, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

The final result is 101.54545454 with a remainder of 2.4e-08.