157021 ÷ 48 
Our goal is to divide 157021 by 48.

Going ahead to step 1:
If we divide 1 by 48, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 48

Moving on to step 2:
48 goes into 15 0 times with a remainder of 15.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 15 and we're left with 15.
Take the next digit (7) from the dividend and append it to 15, then repeat: 157 / 48

Going ahead to step 3:
The number 48 fits into 157 3 times, leaving a remainder of 13.
The next digit of our result is 3. 
Result so far: 3.0
The remainder is 13 after subtracting 144 from 157.
Take the next digit (0) from the dividend and append it to 13, then repeat: 130 / 48

On to step 4:
The number 48 fits into 130 2 times, leaving a remainder of 34.
The number 2 becomes the next digit in our result. 
Result so far: 32.0
Subtract 96 from 130 to get 34.
Fetch the next digit (2) from the dividend, attach it to 34 and continue: 342 / 48

Going ahead to step 5:
48 can be fit into 342 7 times, resulting in a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 327.0
Subtract 336 from 342 to get 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 48

Advancing to step 6:
48 can be fit into 61 1 times, resulting in a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 3271.0
Deduct 48 from 61 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
130 divided by 48 is 2 with a remainder of 34.
Record the quotient 2 as the next digit in the result. 
Result so far: 3271.2
If we take 96 away from 130, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 8:
48 goes into 340 7 times with a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 3271.27
The remainder is 4 after subtracting 336 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 9:
40 divided by 48 is 0 with a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 3271.27
Subtract 0 from 40 to get 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 10:
If we divide 400 by 48, we get 8 and a remainder of 16.
Record the quotient 8 as the next digit in the result. 
Result so far: 3271.2708
The remainder is 16 after subtracting 384 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 11:
The number 48 fits into 160 3 times, leaving a remainder of 16.
Record the quotient 3 as the next digit in the result. 
Result so far: 3271.27083
If we subtract 144 from 160, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 12:
The number 48 fits into 160 3 times, leaving a remainder of 16.
Write down 3 as next digit of the result. 
Result so far: 3271.270833
Subtract 144 from 160 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

In conclusion, the division gives 3271.270833 with a balance of 1.6e-06.