7997 ÷ 48 
Our goal is to divide 7997 by 48.

Advancing to step 1:
7 divided by 48 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (9) from the dividend and append it to 7, then repeat: 79 / 48

Moving on to step 2:
When dividing 79 by 48, we get 1 with a remainder of 31.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 31 after subtracting 48 from 79.
Include the next digit (9) from the dividend after 31, then repeat: 319 / 48

Advancing to step 3:
48 goes into 319 6 times with a remainder of 31.
Record the quotient 6 as the next digit in the result. 
Result so far: 16.0
Subtracting 288 from 319 leaves us with 31.
Include the next digit (7) from the dividend after 31, then repeat: 317 / 48

Step 4:
The number 48 fits into 317 6 times, leaving a remainder of 29.
Use 6 as the next digit of our solution. 
Result so far: 166.0
If we take 288 away from 317, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 5:
When dividing 290 by 48, we get 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 166.6
If we take 288 away from 290, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 6:
48 can be fit into 20 0 times, resulting in a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 166.6
Subtracting 0 from 20 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 7:
200 divided by 48 is 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 166.604
Deduct 192 from 200 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 8:
48 goes into 80 1 times with a remainder of 32.
Record the quotient 1 as the next digit in the result. 
Result so far: 166.6041
If we take 48 away from 80, we end up 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.

Moving on to step 9:
If we divide 320 by 48, we get 6 and a remainder of 32.
The next digit of our result is 6. 
Result so far: 166.60416
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.

Advancing to step 10:
48 goes into 320 6 times with a remainder of 32.
Put 6 as the next digit of the answer. 
Result so far: 166.604166
If we take 288 away from 320, we end up 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.

Our division results in 166.604166 with a remaining 3.2e-06.