105827 divided by 48 
We want to figure out the number of times 105827 can be divided by 48.

Moving on to step 1:
The number 48 fits into 1 0 times, leaving 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.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 48

Advancing to step 2:
The number 48 fits into 10 0 times, leaving a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 48

Advancing to step 3:
When dividing 105 by 48, we get 2 with a remainder of 9.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 96 from 105 leaves us with 9.
Grab the next digit (8) from the dividend, add it to 9, then carry on: 98 / 48

On to step 4:
48 can be fit into 98 2 times, resulting in a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 22.0
Deduct 96 from 98 and we're left with 2.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 48

Advancing to step 5:
22 divided by 48 is 0 with a remainder of 22.
Put 0 as the next digit of the answer. 
Result so far: 220.0
Deduct 0 from 22 and we're left with 22.
Append the next digit (7) from the dividend to 22 and continue with: 227 / 48

Going ahead to step 6:
When dividing 227 by 48, we get 4 with a remainder of 35.
The number 4 becomes the next digit in our result. 
Result so far: 2204.0
Subtract 192 from 227 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 7:
350 divided by 48 is 7 with a remainder of 14.
Record the quotient 7 as the next digit in the result. 
Result so far: 2204.7
The remainder is 14 after subtracting 336 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 8:
If we divide 140 by 48, we get 2 and a remainder of 44.
The next digit of our result is 2. 
Result so far: 2204.72
Subtracting 96 from 140 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 9:
When dividing 440 by 48, we get 9 with a remainder of 8.
Use 9 as the next digit of our solution. 
Result so far: 2204.729
If we subtract 432 from 440, 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.

On to step 10:
The number 48 fits into 80 1 times, leaving a remainder of 32.
Write down 1 as next digit of the result. 
Result so far: 2204.7291
If we subtract 48 from 80, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 11:
The number 48 fits into 320 6 times, leaving a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 2204.72916
The remainder is 32 after subtracting 288 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 12:
If we divide 320 by 48, we get 6 and a remainder of 32.
The number 6 becomes the next digit in our result. 
Result so far: 2204.729166
The remainder is 32 after subtracting 288 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 2204.729166 with a balance of 3.2e-06.