We look at the division of 6667027 by 971 
We want to divide 6667027 by 971.

Going ahead to step 1:
6 divided by 971 is 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 971

On to step 2:
66 divided by 971 is 0 with a remainder of 66.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 66 to get 66.
Take the next digit (6) from the dividend and append it to 66, then repeat: 666 / 971

Advancing to step 3:
When dividing 666 by 971, we get 0 with a remainder of 666.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 666 to get 666.
Bring next digit (7) of the dividend behind the 666 and repeat the process: 6667 / 971

Step 4:
971 can be fit into 6667 6 times, resulting in a remainder of 841.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 5826 away from 6667, we end up with 841.
Append the next digit (0) from the dividend to 841 and continue with: 8410 / 971

Going ahead to step 5:
The number 971 fits into 8410 8 times, leaving a remainder of 642.
The next digit of our result is 8. 
Result so far: 68.0
If we take 7768 away from 8410, we end up with 642.
Include the next digit (2) from the dividend after 642, then repeat: 6422 / 971

Going ahead to step 6:
When dividing 6422 by 971, we get 6 with a remainder of 596.
Write down 6 as next digit of the result. 
Result so far: 686.0
Deduct 5826 from 6422 and we're left with 596.
Append the next digit (7) from the dividend to 596 and continue with: 5967 / 971

Advancing to step 7:
If we divide 5967 by 971, we get 6 and a remainder of 141.
The next digit of our result is 6. 
Result so far: 6866.0
If we take 5826 away from 5967, we end up with 141.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1410, and continue the process.

Going ahead to step 8:
When dividing 1410 by 971, we get 1 with a remainder of 439.
Record the quotient 1 as the next digit in the result. 
Result so far: 6866.1
Subtract 971 from 1410 to get 439.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4390, and continue the process.

Let's proceed to step 9:
971 goes into 4390 4 times with a remainder of 506.
Use 4 as the next digit of our solution. 
Result so far: 6866.14
Subtract 3884 from 4390 to get 506.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5060, and continue the process.

Going ahead to step 10:
The number 971 fits into 5060 5 times, leaving a remainder of 205.
The next digit of our result is 5. 
Result so far: 6866.145
If we subtract 4855 from 5060, we get 205.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2050, and continue the process.

Step 11:
971 goes into 2050 2 times with a remainder of 108.
Write down 2 as next digit of the result. 
Result so far: 6866.1452
Deduct 1942 from 2050 and we're left with 108.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

Advancing to step 12:
1080 divided by 971 is 1 with a remainder of 109.
Use 1 as the next digit of our solution. 
Result so far: 6866.14521
If we take 971 away from 1080, we end up with 109.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1090, and continue the process.

Step 13:
971 goes into 1090 1 times with a remainder of 119.
Use 1 as the next digit of our solution. 
Result so far: 6866.145211
If we take 971 away from 1090, we end up with 119.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1190, and continue the process.

In conclusion, the division gives 6866.145211 with a balance of 1.19e-05.