977641 ÷ 10 
Our goal is to divide 977641 by 10.

Step 1:
10 goes into 9 0 times with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 10

Let's proceed to step 2:
97 divided by 10 is 9 with a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we subtract 90 from 97, we get 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 10

Moving on to step 3:
If we divide 77 by 10, we get 7 and a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 97.0
If we take 70 away from 77, we end up with 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 10

Moving on to step 4:
The number 10 fits into 76 7 times, leaving a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 977.0
Deduct 70 from 76 and we're left with 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 10

Going ahead to step 5:
10 goes into 64 6 times with a remainder of 4.
The next digit of our result is 6. 
Result so far: 9776.0
The remainder is 4 after subtracting 60 from 64.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 10

Let's proceed to step 6:
41 divided by 10 is 4 with a remainder of 1.
The next digit of our result is 4. 
Result so far: 97764.0
If we subtract 40 from 41, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
When dividing 10 by 10, we get 1 with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 97764.1
If we subtract 10 from 10, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 8:
0 divided by 10 is 0 with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 97764.1
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 9:
10 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 97764.1
If we take 0 away from 0, we end up with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 97764.1 with a remainder of 0.0.