261761 ÷ 46 
Our goal is to divide 261761 by 46.

Going ahead to step 1:
46 goes into 2 0 times with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 46

Advancing to step 2:
46 can be fit into 26 0 times, resulting in a remainder of 26.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 26, we get 26.
Grab the next digit (1) from the dividend, add it to 26, then carry on: 261 / 46

Going ahead to step 3:
46 goes into 261 5 times with a remainder of 31.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 230 away from 261, we end up with 31.
Grab the next digit (7) from the dividend, add it to 31, then carry on: 317 / 46

On to step 4:
If we divide 317 by 46, we get 6 and a remainder of 41.
The number 6 becomes the next digit in our result. 
Result so far: 56.0
If we take 276 away from 317, we end up with 41.
Fetch the next digit (6) from the dividend, attach it to 41 and continue: 416 / 46

Going ahead to step 5:
When dividing 416 by 46, we get 9 with a remainder of 2.
The next digit of our result is 9. 
Result so far: 569.0
Subtracting 414 from 416 leaves us with 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 46

Advancing to step 6:
46 goes into 21 0 times with a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 5690.0
Deduct 0 from 21 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 7:
210 divided by 46 is 4 with a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 5690.4
If we take 184 away from 210, we end up 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.
The next digit of our result is 5. 
Result so far: 5690.45
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.

Advancing to step 9:
The number 46 fits into 300 6 times, leaving a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 5690.456
Deduct 276 from 300 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 10:
46 can be fit into 240 5 times, resulting in a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 5690.4565
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.

Step 11:
If we divide 100 by 46, we get 2 and a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 5690.45652
If we subtract 92 from 100, we 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.
Record the quotient 1 as the next digit in the result. 
Result so far: 5690.456521
If we subtract 46 from 80, we get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Advancing to step 13:
The number 46 fits into 340 7 times, leaving a remainder of 18.
Use 7 as the next digit of our solution. 
Result so far: 5690.4565217
Subtracting 322 from 340 leaves us 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.

Advancing to step 14:
180 divided by 46 is 3 with a remainder of 42.
Record the quotient 3 as the next digit in the result. 
Result so far: 5690.45652173
If we take 138 away from 180, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The final outcome is 5690.45652173, with a leftover of 4.2e-08.