We're dividing 105034 by 68 
We want to figure out the number of times 105034 can be divided by 68.

Advancing to step 1:
1 divided by 68 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 68

Let's proceed to step 2:
10 divided by 68 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 68

Step 3:
The number 68 fits into 105 1 times, leaving a remainder of 37.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 68 from 105 and we're left with 37.
Take the next digit (0) from the dividend and append it to 37, then repeat: 370 / 68

Going ahead to step 4:
68 can be fit into 370 5 times, resulting in a remainder of 30.
Put 5 as the next digit of the answer. 
Result so far: 15.0
If we take 340 away from 370, we end up with 30.
Take the next digit (3) from the dividend and append it to 30, then repeat: 303 / 68

Advancing to step 5:
303 divided by 68 is 4 with a remainder of 31.
The number 4 becomes the next digit in our result. 
Result so far: 154.0
If we take 272 away from 303, we end up with 31.
Fetch the next digit (4) from the dividend, attach it to 31 and continue: 314 / 68

Moving on to step 6:
When dividing 314 by 68, we get 4 with a remainder of 42.
The next digit of our result is 4. 
Result so far: 1544.0
If we take 272 away from 314, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 7:
68 can be fit into 420 6 times, resulting in a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 1544.6
If we take 408 away from 420, we end up 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.

Let's proceed to step 8:
120 divided by 68 is 1 with a remainder of 52.
Write down 1 as next digit of the result. 
Result so far: 1544.61
If we subtract 68 from 120, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 9:
If we divide 520 by 68, we get 7 and a remainder of 44.
The next digit of our result is 7. 
Result so far: 1544.617
The remainder is 44 after subtracting 476 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 10:
440 divided by 68 is 6 with a remainder of 32.
Use 6 as the next digit of our solution. 
Result so far: 1544.6176
Deduct 408 from 440 and we're left 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 11:
68 goes into 320 4 times with a remainder of 48.
The number 4 becomes the next digit in our result. 
Result so far: 1544.61764
If we take 272 away from 320, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 12:
68 can be fit into 480 7 times, resulting in a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 1544.617647
Deduct 476 from 480 and we're left 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.

Moving on to step 13:
When dividing 40 by 68, we get 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 1544.617647
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.

Step 14:
The number 68 fits into 400 5 times, leaving a remainder of 60.
The number 5 becomes the next digit in our result. 
Result so far: 1544.61764705
If we subtract 340 from 400, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

The final result is 1544.61764705 with a remainder of 6e-08.