77678606 ÷ 903 
We're looking to find how many times 903 goes into 77678606.

Advancing to step 1:
903 can be fit into 7 0 times, resulting in a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 903

Let's proceed to step 2:
77 divided by 903 is 0 with a remainder of 77.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 77 after subtracting 0 from 77.
Fetch the next digit (6) from the dividend, attach it to 77 and continue: 776 / 903

Let's proceed to step 3:
If we divide 776 by 903, we get 0 and a remainder of 776.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 776 and we're left with 776.
Bring next digit (7) of the dividend behind the 776 and repeat the process: 7767 / 903

Going ahead to step 4:
The number 903 fits into 7767 8 times, leaving a remainder of 543.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
The remainder is 543 after subtracting 7224 from 7767.
Take the next digit (8) from the dividend and append it to 543, then repeat: 5438 / 903

Moving on to step 5:
If we divide 5438 by 903, we get 6 and a remainder of 20.
The next digit of our result is 6. 
Result so far: 86.0
Subtracting 5418 from 5438 leaves us with 20.
Grab the next digit (6) from the dividend, add it to 20, then carry on: 206 / 903

On to step 6:
206 divided by 903 is 0 with a remainder of 206.
The number 0 becomes the next digit in our result. 
Result so far: 860.0
Subtract 0 from 206 to get 206.
Append the next digit (0) from the dividend to 206 and continue with: 2060 / 903

Step 7:
When dividing 2060 by 903, we get 2 with a remainder of 254.
Use 2 as the next digit of our solution. 
Result so far: 8602.0
The remainder is 254 after subtracting 1806 from 2060.
Bring next digit (6) of the dividend behind the 254 and repeat the process: 2546 / 903

Step 8:
903 goes into 2546 2 times with a remainder of 740.
Put 2 as the next digit of the answer. 
Result so far: 86022.0
The remainder is 740 after subtracting 1806 from 2546.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7400, and continue the process.

Going ahead to step 9:
The number 903 fits into 7400 8 times, leaving a remainder of 176.
Write down 8 as next digit of the result. 
Result so far: 86022.8
Subtract 7224 from 7400 to get 176.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1760, and continue the process.

Let's proceed to step 10:
903 can be fit into 1760 1 times, resulting in a remainder of 857.
The next digit of our result is 1. 
Result so far: 86022.81
Deduct 903 from 1760 and we're left with 857.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8570, and continue the process.

Step 11:
903 can be fit into 8570 9 times, resulting in a remainder of 443.
Record the quotient 9 as the next digit in the result. 
Result so far: 86022.819
If we subtract 8127 from 8570, we get 443.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4430, and continue the process.

Moving on to step 12:
903 goes into 4430 4 times with a remainder of 818.
The next digit of our result is 4. 
Result so far: 86022.8194
The remainder is 818 after subtracting 3612 from 4430.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8180, and continue the process.

Advancing to step 13:
8180 divided by 903 is 9 with a remainder of 53.
Use 9 as the next digit of our solution. 
Result so far: 86022.81949
The remainder is 53 after subtracting 8127 from 8180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Advancing to step 14:
903 can be fit into 530 0 times, resulting in a remainder of 530.
Use 0 as the next digit of our solution. 
Result so far: 86022.81949
Subtract 0 from 530 to get 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5300, and continue the process.

Let's proceed to step 15:
The number 903 fits into 5300 5 times, leaving a remainder of 785.
Put 5 as the next digit of the answer. 
Result so far: 86022.8194905
Deduct 4515 from 5300 and we're left with 785.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7850, and continue the process.

Step 16:
903 can be fit into 7850 8 times, resulting in a remainder of 626.
The next digit of our result is 8. 
Result so far: 86022.81949058
If we take 7224 away from 7850, we end up with 626.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6260, and continue the process.

In conclusion, the division gives 86022.81949058 with a balance of 6.26e-07.