103727 ÷ 48 
We want to figure out the number of times 103727 can be divided by 48.

Let's proceed to step 1:
48 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 48

Moving on to step 2:
48 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Include the next digit (3) from the dividend after 10, then repeat: 103 / 48

Moving on to step 3:
48 can be fit into 103 2 times, resulting in a remainder of 7.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 96 away from 103, we end up with 7.
Fetch the next digit (7) from the dividend, attach it to 7 and continue: 77 / 48

Moving on to step 4:
77 divided by 48 is 1 with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
Deduct 48 from 77 and we're left with 29.
Include the next digit (2) from the dividend after 29, then repeat: 292 / 48

Let's proceed to step 5:
292 divided by 48 is 6 with a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 216.0
Subtracting 288 from 292 leaves us with 4.
Take the next digit (7) from the dividend and append it to 4, then repeat: 47 / 48

Step 6:
48 goes into 47 0 times with a remainder of 47.
Use 0 as the next digit of our solution. 
Result so far: 2160.0
If we take 0 away from 47, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 7:
The number 48 fits into 470 9 times, leaving a remainder of 38.
Record the quotient 9 as the next digit in the result. 
Result so far: 2160.9
Subtracting 432 from 470 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Advancing to step 8:
48 goes into 380 7 times with a remainder of 44.
The number 7 becomes the next digit in our result. 
Result so far: 2160.97
Subtracting 336 from 380 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 9:
If we divide 440 by 48, we get 9 and a remainder of 8.
Record the quotient 9 as the next digit in the result. 
Result so far: 2160.979
Subtract 432 from 440 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 10:
When dividing 80 by 48, we get 1 with a remainder of 32.
Write down 1 as next digit of the result. 
Result so far: 2160.9791
The remainder is 32 after subtracting 48 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 11:
320 divided by 48 is 6 with a remainder of 32.
Write down 6 as next digit of the result. 
Result so far: 2160.97916
The remainder is 32 after subtracting 288 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 12:
If we divide 320 by 48, we get 6 and a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 2160.979166
Deduct 288 from 320 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 2160.979166 and a remainder of 3.2e-06.