We look at the division of 105199 by 57 
We want to figure out the number of times 105199 can be divided by 57.

Moving on to step 1:
57 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 57

Step 2:
The number 57 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 57

Step 3:
57 can be fit into 105 1 times, resulting in a remainder of 48.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 57 from 105, we get 48.
Take the next digit (1) from the dividend and append it to 48, then repeat: 481 / 57

Step 4:
57 can be fit into 481 8 times, resulting in a remainder of 25.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
The remainder is 25 after subtracting 456 from 481.
Take the next digit (9) from the dividend and append it to 25, then repeat: 259 / 57

Step 5:
259 divided by 57 is 4 with a remainder of 31.
Put 4 as the next digit of the answer. 
Result so far: 184.0
Subtracting 228 from 259 leaves us with 31.
Bring next digit (9) of the dividend behind the 31 and repeat the process: 319 / 57

Let's proceed to step 6:
57 can be fit into 319 5 times, resulting in a remainder of 34.
The next digit of our result is 5. 
Result so far: 1845.0
Subtract 285 from 319 to 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.

Moving on to step 7:
57 goes into 340 5 times with a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 1845.5
If we take 285 away from 340, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 8:
When dividing 550 by 57, we get 9 with a remainder of 37.
Use 9 as the next digit of our solution. 
Result so far: 1845.59
Subtract 513 from 550 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 9:
370 divided by 57 is 6 with a remainder of 28.
The next digit of our result is 6. 
Result so far: 1845.596
Subtracting 342 from 370 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.

Moving on to step 10:
When dividing 280 by 57, we get 4 with a remainder of 52.
Record the quotient 4 as the next digit in the result. 
Result so far: 1845.5964
If we take 228 away from 280, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 11:
57 goes into 520 9 times with a remainder of 7.
The number 9 becomes the next digit in our result. 
Result so far: 1845.59649
The remainder is 7 after subtracting 513 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 12:
70 divided by 57 is 1 with a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 1845.596491
Deduct 57 from 70 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 13:
The number 57 fits into 130 2 times, leaving a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 1845.5964912
The remainder is 16 after subtracting 114 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 14:
The number 57 fits into 160 2 times, leaving a remainder of 46.
Put 2 as the next digit of the answer. 
Result so far: 1845.59649122
Deduct 114 from 160 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

After the division, we end up with 1845.59649122 and a remainder of 4.6e-08.