We look at the division of 75306 by 69 
We want to figure out the number of times 75306 can be divided by 69.

Advancing to step 1:
If we divide 7 by 69, we get 0 and a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 69

Step 2:
75 divided by 69 is 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 69 from 75, we get 6.
Include the next digit (3) from the dividend after 6, then repeat: 63 / 69

Advancing to step 3:
63 divided by 69 is 0 with a remainder of 63.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 63 to get 63.
Grab the next digit (0) from the dividend, add it to 63, then carry on: 630 / 69

Going ahead to step 4:
When dividing 630 by 69, we get 9 with a remainder of 9.
The next digit of our result is 9. 
Result so far: 109.0
If we subtract 621 from 630, we get 9.
Append the next digit (6) from the dividend to 9 and continue with: 96 / 69

Moving on to step 5:
96 divided by 69 is 1 with a remainder of 27.
Write down 1 as next digit of the result. 
Result so far: 1091.0
If we subtract 69 from 96, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 6:
When dividing 270 by 69, we get 3 with a remainder of 63.
Write down 3 as next digit of the result. 
Result so far: 1091.3
If we subtract 207 from 270, we get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Advancing to step 7:
The number 69 fits into 630 9 times, leaving a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 1091.39
If we subtract 621 from 630, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 8:
If we divide 90 by 69, we get 1 and a remainder of 21.
The number 1 becomes the next digit in our result. 
Result so far: 1091.391
Subtract 69 from 90 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 9:
69 can be fit into 210 3 times, resulting in a remainder of 3.
The next digit of our result is 3. 
Result so far: 1091.3913
Deduct 207 from 210 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 10:
When dividing 30 by 69, we get 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 1091.3913
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 11:
69 can be fit into 300 4 times, resulting in a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 1091.391304
Subtracting 276 from 300 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 12:
The number 69 fits into 240 3 times, leaving a remainder of 33.
Write down 3 as next digit of the result. 
Result so far: 1091.3913043
Subtracting 207 from 240 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 13:
If we divide 330 by 69, we get 4 and a remainder of 54.
The next digit of our result is 4. 
Result so far: 1091.39130434
If we subtract 276 from 330, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

After the division, we end up with 1091.39130434 and a remainder of 5.4e-08.