256376 ÷ 42 
Our goal is to divide 256376 by 42.

Step 1:
42 can be fit into 2 0 times, resulting in a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 42

Moving on to step 2:
The number 42 fits into 25 0 times, leaving a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Grab the next digit (6) from the dividend, add it to 25, then carry on: 256 / 42

Let's proceed to step 3:
42 can be fit into 256 6 times, resulting in a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 252 from 256 and we're left with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 42

Advancing to step 4:
If we divide 43 by 42, we get 1 and a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 61.0
If we subtract 42 from 43, we get 1.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 42

Let's proceed to step 5:
17 divided by 42 is 0 with a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 610.0
The remainder is 17 after subtracting 0 from 17.
Grab the next digit (6) from the dividend, add it to 17, then carry on: 176 / 42

Advancing to step 6:
42 goes into 176 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 6104.0
If we take 168 away from 176, 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.

Advancing to step 7:
When dividing 80 by 42, we get 1 with a remainder of 38.
The next digit of our result is 1. 
Result so far: 6104.1
Subtracting 42 from 80 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:
The number 42 fits into 380 9 times, leaving a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 6104.19
If we subtract 378 from 380, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 9:
The number 42 fits into 20 0 times, leaving a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 6104.19
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 10:
42 goes into 200 4 times with a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 6104.1904
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.

Step 11:
The number 42 fits into 320 7 times, leaving a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 6104.19047
If we subtract 294 from 320, we 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.

Let's proceed to step 12:
42 can be fit into 260 6 times, resulting in a remainder of 8.
The next digit of our result is 6. 
Result so far: 6104.190476
Subtract 252 from 260 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 13:
If we divide 80 by 42, we get 1 and a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 6104.1904761
Subtracting 42 from 80 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.

Moving on to step 14:
42 can be fit into 380 9 times, resulting in a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 6104.19047619
The remainder is 2 after subtracting 378 from 380.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Our division results in 6104.19047619 with a remaining 2e-09.