We look at the division of 75869 by 76 
Our goal is to divide 75869 by 76.

Step 1:
76 goes into 7 0 times with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (5) from the dividend and append it to 7, then repeat: 75 / 76

On to step 2:
76 can be fit into 75 0 times, resulting in a remainder of 75.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 75 and we're left with 75.
Grab the next digit (8) from the dividend, add it to 75, then carry on: 758 / 76

Going ahead to step 3:
758 divided by 76 is 9 with a remainder of 74.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Subtracting 684 from 758 leaves us with 74.
Bring next digit (6) of the dividend behind the 74 and repeat the process: 746 / 76

Let's proceed to step 4:
If we divide 746 by 76, we get 9 and a remainder of 62.
Put 9 as the next digit of the answer. 
Result so far: 99.0
Subtract 684 from 746 to get 62.
Take the next digit (9) from the dividend and append it to 62, then repeat: 629 / 76

Moving on to step 5:
When dividing 629 by 76, we get 8 with a remainder of 21.
Use 8 as the next digit of our solution. 
Result so far: 998.0
If we subtract 608 from 629, we 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 6:
When dividing 210 by 76, we get 2 with a remainder of 58.
The number 2 becomes the next digit in our result. 
Result so far: 998.2
Subtract 152 from 210 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 7:
If we divide 580 by 76, we get 7 and a remainder of 48.
The number 7 becomes the next digit in our result. 
Result so far: 998.27
Deduct 532 from 580 and we're left 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.

Step 8:
The number 76 fits into 480 6 times, leaving a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 998.276
Subtracting 456 from 480 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 9:
76 goes into 240 3 times with a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 998.2763
Subtracting 228 from 240 leaves us 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.

Moving on to step 10:
If we divide 120 by 76, we get 1 and a remainder of 44.
The number 1 becomes the next digit in our result. 
Result so far: 998.27631
If we take 76 away from 120, we end up with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 11:
If we divide 440 by 76, we get 5 and a remainder of 60.
The next digit of our result is 5. 
Result so far: 998.276315
Subtract 380 from 440 to 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.

Moving on to step 12:
The number 76 fits into 600 7 times, leaving a remainder of 68.
The next digit of our result is 7. 
Result so far: 998.2763157
Deduct 532 from 600 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.

Moving on to step 13:
If we divide 680 by 76, we get 8 and a remainder of 72.
Record the quotient 8 as the next digit in the result. 
Result so far: 998.27631578
Subtract 608 from 680 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

The quotient of the division is 998.27631578, and the remainder is 7.2e-08.