Let's divide 151566 by 42
We're looking to find how many times 42 goes into 151566.

On to step 1:
When dividing 1 by 42, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 42

Step 2:
The number 42 fits into 15 0 times, leaving 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.
Include the next digit (1) from the dividend after 15, then repeat: 151 / 42

Advancing to step 3:
The number 42 fits into 151 3 times, leaving a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
Deduct 126 from 151 and we're left with 25.
Include the next digit (5) from the dividend after 25, then repeat: 255 / 42

On to step 4:
42 goes into 255 6 times with a remainder of 3.
Write down 6 as next digit of the result. 
Result so far: 36.0
Subtract 252 from 255 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 42

Let's proceed to step 5:
42 can be fit into 36 0 times, resulting in a remainder of 36.
Write down 0 as next digit of the result. 
Result so far: 360.0
Subtract 0 from 36 to get 36.
Include the next digit (6) from the dividend after 36, then repeat: 366 / 42

Step 6:
366 divided by 42 is 8 with a remainder of 30.
Record the quotient 8 as the next digit in the result. 
Result so far: 3608.0
The remainder is 30 after subtracting 336 from 366.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 7:
42 can be fit into 300 7 times, resulting in a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 3608.7
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 8:
60 divided by 42 is 1 with a remainder of 18.
The next digit of our result is 1. 
Result so far: 3608.71
If we take 42 away from 60, we end up 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 9:
180 divided by 42 is 4 with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 3608.714
Deduct 168 from 180 and we're left 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.

Let's proceed to step 10:
When dividing 120 by 42, we get 2 with a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 3608.7142
Subtract 84 from 120 to 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.

Going ahead to step 11:
42 goes into 360 8 times with a remainder of 24.
The next digit of our result is 8. 
Result so far: 3608.71428
The remainder is 24 after subtracting 336 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 12:
When dividing 240 by 42, we get 5 with a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 3608.714285
Subtract 210 from 240 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 13:
300 divided by 42 is 7 with a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 3608.7142857
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.

Advancing to step 14:
42 can be fit into 60 1 times, resulting in a remainder of 18.
The next digit of our result is 1. 
Result so far: 3608.71428571
Subtract 42 from 60 to 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.

Our division results in 3608.71428571 with a remaining 1.8e-08.