We're dividing 15684 by 44 
We want to figure out the number of times 15684 can be divided by 44.

On to step 1:
1 divided by 44 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 44

On to step 2:
15 divided by 44 is 0 with a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 15, we end up with 15.
Grab the next digit (6) from the dividend, add it to 15, then carry on: 156 / 44

Going ahead to step 3:
44 can be fit into 156 3 times, resulting in a remainder of 24.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 132 from 156 to get 24.
Fetch the next digit (8) from the dividend, attach it to 24 and continue: 248 / 44

Advancing to step 4:
44 goes into 248 5 times with a remainder of 28.
Write down 5 as next digit of the result. 
Result so far: 35.0
Subtract 220 from 248 to get 28.
Fetch the next digit (4) from the dividend, attach it to 28 and continue: 284 / 44

Going ahead to step 5:
44 can be fit into 284 6 times, resulting in a remainder of 20.
Record the quotient 6 as the next digit in the result. 
Result so far: 356.0
Deduct 264 from 284 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.

Moving on to step 6:
If we divide 200 by 44, we get 4 and a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 356.4
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.

Let's proceed to step 7:
44 goes into 240 5 times with a remainder of 20.
The number 5 becomes the next digit in our result. 
Result so far: 356.45
Subtract 220 from 240 to 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.

Step 8:
44 goes into 200 4 times with a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 356.454
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:
240 divided by 44 is 5 with a remainder of 20.
The next digit of our result is 5. 
Result so far: 356.4545
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.

Moving on to step 10:
If we divide 200 by 44, we get 4 and a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 356.45454
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.

Advancing to step 11:
If we divide 240 by 44, we get 5 and a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 356.454545
Subtract 220 from 240 to 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.

On to step 12:
When dividing 200 by 44, we get 4 with a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 356.4545454
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.

Advancing to step 13:
The number 44 fits into 240 5 times, leaving a remainder of 20.
Write down 5 as next digit of the result. 
Result so far: 356.45454545
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.

After the division, we end up with 356.45454545 and a remainder of 2e-08.