We're dividing 105882 by 46 
We're looking to find how many times 46 goes into 105882.

Advancing to step 1:
46 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 46

Going ahead to step 2:
When dividing 10 by 46, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 46

Let's proceed to step 3:
46 goes into 105 2 times with a remainder of 13.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 92 from 105 and we're left with 13.
Include the next digit (8) from the dividend after 13, then repeat: 138 / 46

Advancing to step 4:
138 divided by 46 is 3 with a remainder of 0.
Record the quotient 3 as the next digit in the result. 
Result so far: 23.0
Subtract 138 from 138 to get 0.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 46

Let's proceed to step 5:
The number 46 fits into 8 0 times, leaving a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 230.0
The remainder is 8 after subtracting 0 from 8.
Fetch the next digit (2) from the dividend, attach it to 8 and continue: 82 / 46

Let's proceed to step 6:
When dividing 82 by 46, we get 1 with a remainder of 36.
Use 1 as the next digit of our solution. 
Result so far: 2301.0
If we subtract 46 from 82, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 7:
If we divide 360 by 46, we get 7 and a remainder of 38.
The next digit of our result is 7. 
Result so far: 2301.7
Deduct 322 from 360 and we're left 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.

Let's proceed to step 8:
46 can be fit into 380 8 times, resulting in a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 2301.78
Deduct 368 from 380 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 9:
46 can be fit into 120 2 times, resulting in a remainder of 28.
Use 2 as the next digit of our solution. 
Result so far: 2301.782
Subtracting 92 from 120 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 10:
When dividing 280 by 46, we get 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 2301.7826
If we take 276 away from 280, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 11:
If we divide 40 by 46, we get 0 and a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 2301.7826
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 12:
When dividing 400 by 46, we get 8 with a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 2301.782608
Subtracting 368 from 400 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 13:
The number 46 fits into 320 6 times, leaving a remainder of 44.
The next digit of our result is 6. 
Result so far: 2301.7826086
The remainder is 44 after subtracting 276 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 14:
The number 46 fits into 440 9 times, leaving a remainder of 26.
The next digit of our result is 9. 
Result so far: 2301.78260869
Deduct 414 from 440 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.

After the division, we end up with 2301.78260869 and a remainder of 2.6e-08.