We're dividing 105174 by 56 
We want to figure out the number of times 105174 can be divided by 56.

Let's proceed to step 1:
1 divided by 56 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 56

Going ahead to step 2:
The number 56 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.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 56

Moving on to step 3:
If we divide 105 by 56, we get 1 and a remainder of 49.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 56 from 105 leaves us with 49.
Append the next digit (1) from the dividend to 49 and continue with: 491 / 56

Step 4:
The number 56 fits into 491 8 times, leaving a remainder of 43.
Use 8 as the next digit of our solution. 
Result so far: 18.0
Subtracting 448 from 491 leaves us with 43.
Bring next digit (7) of the dividend behind the 43 and repeat the process: 437 / 56

Step 5:
When dividing 437 by 56, we get 7 with a remainder of 45.
Write down 7 as next digit of the result. 
Result so far: 187.0
If we take 392 away from 437, we end up with 45.
Grab the next digit (4) from the dividend, add it to 45, then carry on: 454 / 56

Going ahead to step 6:
454 divided by 56 is 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 1878.0
The remainder is 6 after subtracting 448 from 454.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
The number 56 fits into 60 1 times, leaving a remainder of 4.
The next digit of our result is 1. 
Result so far: 1878.1
If we subtract 56 from 60, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 8:
40 divided by 56 is 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 1878.1
If we take 0 away from 40, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 9:
The number 56 fits into 400 7 times, leaving a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 1878.107
Deduct 392 from 400 and we're left 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 10:
56 can be fit into 80 1 times, resulting in a remainder of 24.
Use 1 as the next digit of our solution. 
Result so far: 1878.1071
The remainder is 24 after subtracting 56 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 11:
When dividing 240 by 56, we get 4 with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 1878.10714
Deduct 224 from 240 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 12:
If we divide 160 by 56, we get 2 and a remainder of 48.
Put 2 as the next digit of the answer. 
Result so far: 1878.107142
If we subtract 112 from 160, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 13:
56 can be fit into 480 8 times, resulting in a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 1878.1071428
If we take 448 away from 480, we end up 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.

On to step 14:
The number 56 fits into 320 5 times, leaving a remainder of 40.
The number 5 becomes the next digit in our result. 
Result so far: 1878.10714285
The remainder is 40 after subtracting 280 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Our division results in 1878.10714285 with a remaining 4e-08.