8506977 ÷ 971 
Our goal is to divide 8506977 by 971.

Step 1:
If we divide 8 by 971, we get 0 and a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 8, we get 8.
Fetch the next digit (5) from the dividend, attach it to 8 and continue: 85 / 971

Advancing to step 2:
971 can be fit into 85 0 times, resulting in a remainder of 85.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 85 to get 85.
Bring next digit (0) of the dividend behind the 85 and repeat the process: 850 / 971

Moving on to step 3:
971 goes into 850 0 times with a remainder of 850.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 850 after subtracting 0 from 850.
Fetch the next digit (6) from the dividend, attach it to 850 and continue: 8506 / 971

Advancing to step 4:
When dividing 8506 by 971, we get 8 with a remainder of 738.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Subtract 7768 from 8506 to get 738.
Include the next digit (9) from the dividend after 738, then repeat: 7389 / 971

Advancing to step 5:
971 can be fit into 7389 7 times, resulting in a remainder of 592.
Write down 7 as next digit of the result. 
Result so far: 87.0
If we subtract 6797 from 7389, we get 592.
Bring next digit (7) of the dividend behind the 592 and repeat the process: 5927 / 971

Advancing to step 6:
971 can be fit into 5927 6 times, resulting in a remainder of 101.
Use 6 as the next digit of our solution. 
Result so far: 876.0
The remainder is 101 after subtracting 5826 from 5927.
Fetch the next digit (7) from the dividend, attach it to 101 and continue: 1017 / 971

Step 7:
When dividing 1017 by 971, we get 1 with a remainder of 46.
Put 1 as the next digit of the answer. 
Result so far: 8761.0
Subtracting 971 from 1017 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 8:
The number 971 fits into 460 0 times, leaving a remainder of 460.
Use 0 as the next digit of our solution. 
Result so far: 8761.0
Subtract 0 from 460 to get 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4600, and continue the process.

Let's proceed to step 9:
4600 divided by 971 is 4 with a remainder of 716.
Record the quotient 4 as the next digit in the result. 
Result so far: 8761.04
The remainder is 716 after subtracting 3884 from 4600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7160, and continue the process.

Let's proceed to step 10:
971 can be fit into 7160 7 times, resulting in a remainder of 363.
Write down 7 as next digit of the result. 
Result so far: 8761.047
Subtracting 6797 from 7160 leaves us with 363.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3630, and continue the process.

Let's proceed to step 11:
The number 971 fits into 3630 3 times, leaving a remainder of 717.
Put 3 as the next digit of the answer. 
Result so far: 8761.0473
Subtract 2913 from 3630 to get 717.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7170, and continue the process.

Step 12:
If we divide 7170 by 971, we get 7 and a remainder of 373.
The next digit of our result is 7. 
Result so far: 8761.04737
Subtract 6797 from 7170 to get 373.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3730, and continue the process.

Step 13:
If we divide 3730 by 971, we get 3 and a remainder of 817.
Use 3 as the next digit of our solution. 
Result so far: 8761.047373
Subtract 2913 from 3730 to get 817.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8170, and continue the process.

On to step 14:
971 can be fit into 8170 8 times, resulting in a remainder of 402.
Record the quotient 8 as the next digit in the result. 
Result so far: 8761.0473738
The remainder is 402 after subtracting 7768 from 8170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4020, and continue the process.

Moving on to step 15:
971 can be fit into 4020 4 times, resulting in a remainder of 136.
The number 4 becomes the next digit in our result. 
Result so far: 8761.04737384
Subtract 3884 from 4020 to get 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

In conclusion, the division gives 8761.04737384 with a balance of 1.36e-07.