We look at the division of 526457 by 42 
We're looking to find how many times 42 goes into 526457.

On to step 1:
42 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (2) from the dividend and append it to 5, then repeat: 52 / 42

Moving on to step 2:
If we divide 52 by 42, we get 1 and a remainder of 10.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 42 from 52 leaves us with 10.
Bring next digit (6) of the dividend behind the 10 and repeat the process: 106 / 42

Going ahead to step 3:
When dividing 106 by 42, we get 2 with a remainder of 22.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Deduct 84 from 106 and we're left with 22.
Bring next digit (4) of the dividend behind the 22 and repeat the process: 224 / 42

Let's proceed to step 4:
If we divide 224 by 42, we get 5 and a remainder of 14.
Use 5 as the next digit of our solution. 
Result so far: 125.0
If we take 210 away from 224, we end up with 14.
Append the next digit (5) from the dividend to 14 and continue with: 145 / 42

Let's proceed to step 5:
When dividing 145 by 42, we get 3 with a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 1253.0
Subtracting 126 from 145 leaves us with 19.
Take the next digit (7) from the dividend and append it to 19, then repeat: 197 / 42

Let's proceed to step 6:
197 divided by 42 is 4 with a remainder of 29.
Write down 4 as next digit of the result. 
Result so far: 12534.0
If we subtract 168 from 197, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 7:
The number 42 fits into 290 6 times, leaving a remainder of 38.
The next digit of our result is 6. 
Result so far: 12534.6
Subtracting 252 from 290 leaves us with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 8:
42 goes into 380 9 times with a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 12534.69
If we take 378 away from 380, 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.

Let's proceed to step 9:
20 divided by 42 is 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 12534.69
If we take 0 away from 20, we end up 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 10:
If we divide 200 by 42, we get 4 and a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 12534.6904
The remainder is 32 after subtracting 168 from 200.
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 11:
320 divided by 42 is 7 with a remainder of 26.
Write down 7 as next digit of the result. 
Result so far: 12534.69047
Subtract 294 from 320 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 12:
42 goes into 260 6 times with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 12534.690476
If we take 252 away from 260, we end up 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.

Let's proceed to step 13:
When dividing 80 by 42, we get 1 with a remainder of 38.
The number 1 becomes the next digit in our result. 
Result so far: 12534.6904761
If we subtract 42 from 80, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 14:
When dividing 380 by 42, we get 9 with a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 12534.69047619
Deduct 378 from 380 and we're left 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.

The final result is 12534.69047619 with a remainder of 2e-09.