7648600 ÷ 977 
We want to divide 7648600 by 977.

Going ahead to step 1:
If we divide 7 by 977, we get 0 and a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 977

Going ahead to step 2:
The number 977 fits into 76 0 times, leaving a remainder of 76.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 76, we get 76.
Bring next digit (4) of the dividend behind the 76 and repeat the process: 764 / 977

Let's proceed to step 3:
764 divided by 977 is 0 with a remainder of 764.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 764, we end up with 764.
Take the next digit (8) from the dividend and append it to 764, then repeat: 7648 / 977

Moving on to step 4:
When dividing 7648 by 977, we get 7 with a remainder of 809.
Use 7 as the next digit of our solution. 
Result so far: 7.0
If we subtract 6839 from 7648, we get 809.
Take the next digit (6) from the dividend and append it to 809, then repeat: 8096 / 977

Step 5:
The number 977 fits into 8096 8 times, leaving a remainder of 280.
The number 8 becomes the next digit in our result. 
Result so far: 78.0
Subtracting 7816 from 8096 leaves us with 280.
Grab the next digit (0) from the dividend, add it to 280, then carry on: 2800 / 977

Going ahead to step 6:
2800 divided by 977 is 2 with a remainder of 846.
Put 2 as the next digit of the answer. 
Result so far: 782.0
The remainder is 846 after subtracting 1954 from 2800.
Bring next digit (0) of the dividend behind the 846 and repeat the process: 8460 / 977

Step 7:
When dividing 8460 by 977, we get 8 with a remainder of 644.
Record the quotient 8 as the next digit in the result. 
Result so far: 7828.0
The remainder is 644 after subtracting 7816 from 8460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6440, and continue the process.

Going ahead to step 8:
977 can be fit into 6440 6 times, resulting in a remainder of 578.
The next digit of our result is 6. 
Result so far: 7828.6
The remainder is 578 after subtracting 5862 from 6440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5780, and continue the process.

Moving on to step 9:
977 goes into 5780 5 times with a remainder of 895.
Put 5 as the next digit of the answer. 
Result so far: 7828.65
If we subtract 4885 from 5780, we get 895.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8950, and continue the process.

Advancing to step 10:
977 goes into 8950 9 times with a remainder of 157.
Use 9 as the next digit of our solution. 
Result so far: 7828.659
The remainder is 157 after subtracting 8793 from 8950.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1570, and continue the process.

Step 11:
1570 divided by 977 is 1 with a remainder of 593.
Use 1 as the next digit of our solution. 
Result so far: 7828.6591
Subtracting 977 from 1570 leaves us with 593.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5930, and continue the process.

Step 12:
5930 divided by 977 is 6 with a remainder of 68.
Write down 6 as next digit of the result. 
Result so far: 7828.65916
If we subtract 5862 from 5930, we get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 13:
If we divide 680 by 977, we get 0 and a remainder of 680.
Put 0 as the next digit of the answer. 
Result so far: 7828.65916
The remainder is 680 after subtracting 0 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6800, and continue the process.

Moving on to step 14:
977 goes into 6800 6 times with a remainder of 938.
Record the quotient 6 as the next digit in the result. 
Result so far: 7828.6591606
Subtracting 5862 from 6800 leaves us with 938.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9380, and continue the process.

Going ahead to step 15:
977 can be fit into 9380 9 times, resulting in a remainder of 587.
The number 9 becomes the next digit in our result. 
Result so far: 7828.65916069
Deduct 8793 from 9380 and we're left with 587.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5870, and continue the process.

Our division results in 7828.65916069 with a remaining 5.87e-07.