105578 ÷ 48 
We're looking to find how many times 48 goes into 105578.

Moving on to step 1:
If we divide 1 by 48, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 48

Going ahead to step 2:
48 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 48

On to step 3:
When dividing 105 by 48, we get 2 with a remainder of 9.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 96 from 105 and we're left with 9.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 48

Going ahead to step 4:
95 divided by 48 is 1 with a remainder of 47.
Put 1 as the next digit of the answer. 
Result so far: 21.0
The remainder is 47 after subtracting 48 from 95.
Append the next digit (7) from the dividend to 47 and continue with: 477 / 48

On to step 5:
48 goes into 477 9 times with a remainder of 45.
Put 9 as the next digit of the answer. 
Result so far: 219.0
The remainder is 45 after subtracting 432 from 477.
Include the next digit (8) from the dividend after 45, then repeat: 458 / 48

On to step 6:
If we divide 458 by 48, we get 9 and a remainder of 26.
Record the quotient 9 as the next digit in the result. 
Result so far: 2199.0
Deduct 432 from 458 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 7:
260 divided by 48 is 5 with a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 2199.5
Deduct 240 from 260 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 8:
200 divided by 48 is 4 with a remainder of 8.
Put 4 as the next digit of the answer. 
Result so far: 2199.54
If we take 192 away from 200, 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.

On to step 9:
When dividing 80 by 48, we get 1 with a remainder of 32.
Write down 1 as next digit of the result. 
Result so far: 2199.541
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.

On to step 10:
If we divide 320 by 48, we get 6 and a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 2199.5416
Subtracting 288 from 320 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.

Going ahead to step 11:
48 can be fit into 320 6 times, resulting in a remainder of 32.
The next digit of our result is 6. 
Result so far: 2199.54166
If we subtract 288 from 320, 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.

In conclusion, the division gives 2199.54166 with a balance of 3.2e-05.