We're dividing 531361 by 42 
We're looking to find how many times 42 goes into 531361.

Let's proceed to step 1:
5 divided by 42 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 42

Advancing to step 2:
The number 42 fits into 53 1 times, leaving a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 42 from 53 leaves us with 11.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 42

Advancing to step 3:
42 goes into 111 2 times with a remainder of 27.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
If we subtract 84 from 111, we get 27.
Grab the next digit (3) from the dividend, add it to 27, then carry on: 273 / 42

Let's proceed to step 4:
42 goes into 273 6 times with a remainder of 21.
The number 6 becomes the next digit in our result. 
Result so far: 126.0
Subtracting 252 from 273 leaves us with 21.
Bring next digit (6) of the dividend behind the 21 and repeat the process: 216 / 42

On to step 5:
216 divided by 42 is 5 with a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 1265.0
Subtract 210 from 216 to get 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 42

Let's proceed to step 6:
The number 42 fits into 61 1 times, leaving a remainder of 19.
The next digit of our result is 1. 
Result so far: 12651.0
If we take 42 away from 61, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 7:
42 can be fit into 190 4 times, resulting in a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 12651.4
Subtract 168 from 190 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 8:
The number 42 fits into 220 5 times, leaving a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 12651.45
The remainder is 10 after subtracting 210 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
The number 42 fits into 100 2 times, leaving a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 12651.452
If we take 84 away from 100, we end up with 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 10:
42 goes into 160 3 times with a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 12651.4523
If we take 126 away from 160, 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 11:
42 goes into 340 8 times with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 12651.45238
Subtract 336 from 340 to get 4.
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 12:
42 can be fit into 40 0 times, resulting in a remainder of 40.
The number 0 becomes the next digit in our result. 
Result so far: 12651.45238
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 13:
The number 42 fits into 400 9 times, leaving a remainder of 22.
Write down 9 as next digit of the result. 
Result so far: 12651.4523809
Subtracting 378 from 400 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 14:
The number 42 fits into 220 5 times, leaving a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 12651.45238095
Subtract 210 from 220 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 12651.45238095 with a balance of 1e-08.