We look at the division of 261439 by 46 
Our goal is to divide 261439 by 46.

On to step 1:
If we divide 2 by 46, we get 0 and a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Append the next digit (6) from the dividend to 2 and continue with: 26 / 46

Advancing to step 2:
26 divided by 46 is 0 with a remainder of 26.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 26, we end up with 26.
Include the next digit (1) from the dividend after 26, then repeat: 261 / 46

Going ahead to step 3:
46 goes into 261 5 times with a remainder of 31.
Write down 5 as next digit of the result. 
Result so far: 5.0
Subtracting 230 from 261 leaves us with 31.
Include the next digit (4) from the dividend after 31, then repeat: 314 / 46

On to step 4:
314 divided by 46 is 6 with a remainder of 38.
The next digit of our result is 6. 
Result so far: 56.0
If we subtract 276 from 314, we get 38.
Take the next digit (3) from the dividend and append it to 38, then repeat: 383 / 46

Let's proceed to step 5:
If we divide 383 by 46, we get 8 and a remainder of 15.
Write down 8 as next digit of the result. 
Result so far: 568.0
Subtracting 368 from 383 leaves us with 15.
Fetch the next digit (9) from the dividend, attach it to 15 and continue: 159 / 46

Moving on to step 6:
When dividing 159 by 46, we get 3 with a remainder of 21.
Put 3 as the next digit of the answer. 
Result so far: 5683.0
If we subtract 138 from 159, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 7:
46 goes into 210 4 times with a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 5683.4
Deduct 184 from 210 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 8:
46 goes into 260 5 times with a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 5683.45
The remainder is 30 after subtracting 230 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 9:
46 goes into 300 6 times with a remainder of 24.
The next digit of our result is 6. 
Result so far: 5683.456
The remainder is 24 after subtracting 276 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 10:
The number 46 fits into 240 5 times, leaving a remainder of 10.
The next digit of our result is 5. 
Result so far: 5683.4565
The remainder is 10 after subtracting 230 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 11:
46 can be fit into 100 2 times, resulting in a remainder of 8.
Record the quotient 2 as the next digit in the result. 
Result so far: 5683.45652
Subtract 92 from 100 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.

Let's proceed to step 12:
The number 46 fits into 80 1 times, leaving a remainder of 34.
Put 1 as the next digit of the answer. 
Result so far: 5683.456521
If we take 46 away from 80, 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.

Let's proceed to step 13:
When dividing 340 by 46, we get 7 with a remainder of 18.
Write down 7 as next digit of the result. 
Result so far: 5683.4565217
The remainder is 18 after subtracting 322 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 14:
If we divide 180 by 46, we get 3 and a remainder of 42.
Use 3 as the next digit of our solution. 
Result so far: 5683.45652173
Subtract 138 from 180 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Our division results in 5683.45652173 with a remaining 4.2e-08.