157737 ÷ 42 
We want to figure out the number of times 157737 can be divided by 42.

Let's proceed to step 1:
42 can be fit into 1 0 times, resulting in 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.
Append the next digit (5) from the dividend to 1 and continue with: 15 / 42

Moving on to step 2:
42 goes into 15 0 times with a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 15 and we're left with 15.
Bring next digit (7) of the dividend behind the 15 and repeat the process: 157 / 42

Let's proceed to step 3:
157 divided by 42 is 3 with a remainder of 31.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we take 126 away from 157, we end up with 31.
Fetch the next digit (7) from the dividend, attach it to 31 and continue: 317 / 42

Going ahead to step 4:
The number 42 fits into 317 7 times, leaving a remainder of 23.
Put 7 as the next digit of the answer. 
Result so far: 37.0
If we subtract 294 from 317, we get 23.
Fetch the next digit (3) from the dividend, attach it to 23 and continue: 233 / 42

Going ahead to step 5:
The number 42 fits into 233 5 times, leaving a remainder of 23.
Record the quotient 5 as the next digit in the result. 
Result so far: 375.0
Deduct 210 from 233 and we're left with 23.
Take the next digit (7) from the dividend and append it to 23, then repeat: 237 / 42

On to step 6:
The number 42 fits into 237 5 times, leaving a remainder of 27.
Use 5 as the next digit of our solution. 
Result so far: 3755.0
The remainder is 27 after subtracting 210 from 237.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 7:
270 divided by 42 is 6 with a remainder of 18.
The next digit of our result is 6. 
Result so far: 3755.6
If we subtract 252 from 270, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 8:
180 divided by 42 is 4 with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 3755.64
The remainder is 12 after subtracting 168 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 9:
120 divided by 42 is 2 with a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 3755.642
If we subtract 84 from 120, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 10:
If we divide 360 by 42, we get 8 and a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 3755.6428
Deduct 336 from 360 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.

Step 11:
When dividing 240 by 42, we get 5 with a remainder of 30.
The next digit of our result is 5. 
Result so far: 3755.64285
Subtracting 210 from 240 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 12:
42 goes into 300 7 times with a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 3755.642857
The remainder is 6 after subtracting 294 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 13:
42 can be fit into 60 1 times, resulting in a remainder of 18.
Use 1 as the next digit of our solution. 
Result so far: 3755.6428571
Subtracting 42 from 60 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 14:
The number 42 fits into 180 4 times, leaving a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 3755.64285714
If we take 168 away from 180, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 3755.64285714 with a remainder of 1.2e-08.