We divide 7888584 by 769
We're looking to find how many times 769 goes into 7888584.

Advancing to step 1:
7 divided by 769 is 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 769

On to step 2:
The number 769 fits into 78 0 times, leaving a remainder of 78.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 78, we end up with 78.
Fetch the next digit (8) from the dividend, attach it to 78 and continue: 788 / 769

Moving on to step 3:
When dividing 788 by 769, we get 1 with a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 769 away from 788, we end up with 19.
Fetch the next digit (8) from the dividend, attach it to 19 and continue: 198 / 769

Step 4:
If we divide 198 by 769, we get 0 and a remainder of 198.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we subtract 0 from 198, we get 198.
Include the next digit (5) from the dividend after 198, then repeat: 1985 / 769

Let's proceed to step 5:
The number 769 fits into 1985 2 times, leaving a remainder of 447.
Use 2 as the next digit of our solution. 
Result so far: 102.0
Deduct 1538 from 1985 and we're left with 447.
Grab the next digit (8) from the dividend, add it to 447, then carry on: 4478 / 769

Moving on to step 6:
The number 769 fits into 4478 5 times, leaving a remainder of 633.
The next digit of our result is 5. 
Result so far: 1025.0
The remainder is 633 after subtracting 3845 from 4478.
Fetch the next digit (4) from the dividend, attach it to 633 and continue: 6334 / 769

Step 7:
769 goes into 6334 8 times with a remainder of 182.
Write down 8 as next digit of the result. 
Result so far: 10258.0
Subtract 6152 from 6334 to get 182.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1820, and continue the process.

Step 8:
769 goes into 1820 2 times with a remainder of 282.
Record the quotient 2 as the next digit in the result. 
Result so far: 10258.2
Deduct 1538 from 1820 and we're left with 282.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2820, and continue the process.

On to step 9:
2820 divided by 769 is 3 with a remainder of 513.
Use 3 as the next digit of our solution. 
Result so far: 10258.23
Subtract 2307 from 2820 to get 513.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5130, and continue the process.

Advancing to step 10:
The number 769 fits into 5130 6 times, leaving a remainder of 516.
Put 6 as the next digit of the answer. 
Result so far: 10258.236
If we subtract 4614 from 5130, we get 516.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5160, and continue the process.

Step 11:
If we divide 5160 by 769, we get 6 and a remainder of 546.
The number 6 becomes the next digit in our result. 
Result so far: 10258.2366
If we subtract 4614 from 5160, we get 546.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5460, and continue the process.

The final result is 10258.2366 with a remainder of 0.00546.