We're dividing 75669376 by 263 
We're looking to find how many times 263 goes into 75669376.

Moving on to step 1:
When dividing 7 by 263, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 263

Advancing to step 2:
75 divided by 263 is 0 with a remainder of 75.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 75, we end up with 75.
Append the next digit (6) from the dividend to 75 and continue with: 756 / 263

Let's proceed to step 3:
263 goes into 756 2 times with a remainder of 230.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 230 after subtracting 526 from 756.
Grab the next digit (6) from the dividend, add it to 230, then carry on: 2306 / 263

On to step 4:
The number 263 fits into 2306 8 times, leaving a remainder of 202.
The next digit of our result is 8. 
Result so far: 28.0
Subtract 2104 from 2306 to get 202.
Append the next digit (9) from the dividend to 202 and continue with: 2029 / 263

Moving on to step 5:
263 can be fit into 2029 7 times, resulting in a remainder of 188.
Write down 7 as next digit of the result. 
Result so far: 287.0
If we subtract 1841 from 2029, we get 188.
Fetch the next digit (3) from the dividend, attach it to 188 and continue: 1883 / 263

On to step 6:
263 goes into 1883 7 times with a remainder of 42.
Use 7 as the next digit of our solution. 
Result so far: 2877.0
Deduct 1841 from 1883 and we're left with 42.
Include the next digit (7) from the dividend after 42, then repeat: 427 / 263

Let's proceed to step 7:
If we divide 427 by 263, we get 1 and a remainder of 164.
Record the quotient 1 as the next digit in the result. 
Result so far: 28771.0
Subtracting 263 from 427 leaves us with 164.
Fetch the next digit (6) from the dividend, attach it to 164 and continue: 1646 / 263

Advancing to step 8:
263 can be fit into 1646 6 times, resulting in a remainder of 68.
The next digit of our result is 6. 
Result so far: 287716.0
Deduct 1578 from 1646 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 9:
680 divided by 263 is 2 with a remainder of 154.
Record the quotient 2 as the next digit in the result. 
Result so far: 287716.2
Deduct 526 from 680 and we're left with 154.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1540, and continue the process.

On to step 10:
263 can be fit into 1540 5 times, resulting in a remainder of 225.
Use 5 as the next digit of our solution. 
Result so far: 287716.25
The remainder is 225 after subtracting 1315 from 1540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2250, and continue the process.

Let's proceed to step 11:
2250 divided by 263 is 8 with a remainder of 146.
The next digit of our result is 8. 
Result so far: 287716.258
If we take 2104 away from 2250, we end up with 146.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1460, and continue the process.

On to step 12:
263 can be fit into 1460 5 times, resulting in a remainder of 145.
Write down 5 as next digit of the result. 
Result so far: 287716.2585
Subtract 1315 from 1460 to get 145.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1450, and continue the process.

Step 13:
263 can be fit into 1450 5 times, resulting in a remainder of 135.
Use 5 as the next digit of our solution. 
Result so far: 287716.25855
The remainder is 135 after subtracting 1315 from 1450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1350, and continue the process.

The quotient of the division is 287716.25855, and the remainder is 0.000135.