214108 ÷ 44 
We want to figure out the number of times 214108 can be divided by 44.

Advancing to step 1:
If we divide 2 by 44, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 44

On to step 2:
If we divide 21 by 44, we get 0 and a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 21, we get 21.
Take the next digit (4) from the dividend and append it to 21, then repeat: 214 / 44

Moving on to step 3:
The number 44 fits into 214 4 times, leaving a remainder of 38.
Put 4 as the next digit of the answer. 
Result so far: 4.0
If we take 176 away from 214, we end up with 38.
Bring next digit (1) of the dividend behind the 38 and repeat the process: 381 / 44

Advancing to step 4:
44 goes into 381 8 times with a remainder of 29.
Record the quotient 8 as the next digit in the result. 
Result so far: 48.0
Subtracting 352 from 381 leaves us with 29.
Grab the next digit (0) from the dividend, add it to 29, then carry on: 290 / 44

On to step 5:
When dividing 290 by 44, we get 6 with a remainder of 26.
The next digit of our result is 6. 
Result so far: 486.0
Subtract 264 from 290 to get 26.
Take the next digit (8) from the dividend and append it to 26, then repeat: 268 / 44

Step 6:
44 goes into 268 6 times with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 4866.0
The remainder is 4 after subtracting 264 from 268.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
The number 44 fits into 40 0 times, leaving a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 4866.0
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 8:
44 can be fit into 400 9 times, resulting in a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 4866.09
If we subtract 396 from 400, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 9:
40 divided by 44 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 4866.09
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 10:
44 goes into 400 9 times with a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 4866.0909
Subtract 396 from 400 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 11:
44 goes into 40 0 times with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 4866.0909
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 12:
If we divide 400 by 44, we get 9 and a remainder of 4.
Write down 9 as next digit of the result. 
Result so far: 4866.090909
The remainder is 4 after subtracting 396 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 13:
44 goes into 40 0 times with a remainder of 40.
The next digit of our result is 0. 
Result so far: 4866.090909
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 14:
When dividing 400 by 44, we get 9 with a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 4866.09090909
Subtracting 396 from 400 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 4866.09090909, and the remainder is 4e-09.