76114041 ÷ 971 
We're looking to find how many times 971 goes into 76114041.

Advancing to step 1:
If we divide 7 by 971, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 971

Moving on to step 2:
The number 971 fits into 76 0 times, leaving a remainder of 76.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 76 and we're left with 76.
Take the next digit (1) from the dividend and append it to 76, then repeat: 761 / 971

Advancing to step 3:
The number 971 fits into 761 0 times, leaving a remainder of 761.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 761 leaves us with 761.
Append the next digit (1) from the dividend to 761 and continue with: 7611 / 971

Step 4:
971 can be fit into 7611 7 times, resulting in a remainder of 814.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
The remainder is 814 after subtracting 6797 from 7611.
Fetch the next digit (4) from the dividend, attach it to 814 and continue: 8144 / 971

Going ahead to step 5:
If we divide 8144 by 971, we get 8 and a remainder of 376.
Use 8 as the next digit of our solution. 
Result so far: 78.0
Deduct 7768 from 8144 and we're left with 376.
Take the next digit (0) from the dividend and append it to 376, then repeat: 3760 / 971

Step 6:
971 goes into 3760 3 times with a remainder of 847.
The number 3 becomes the next digit in our result. 
Result so far: 783.0
If we subtract 2913 from 3760, we get 847.
Bring next digit (4) of the dividend behind the 847 and repeat the process: 8474 / 971

Step 7:
971 can be fit into 8474 8 times, resulting in a remainder of 706.
Put 8 as the next digit of the answer. 
Result so far: 7838.0
Deduct 7768 from 8474 and we're left with 706.
Take the next digit (1) from the dividend and append it to 706, then repeat: 7061 / 971

On to step 8:
971 goes into 7061 7 times with a remainder of 264.
The number 7 becomes the next digit in our result. 
Result so far: 78387.0
If we take 6797 away from 7061, we end up with 264.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2640, and continue the process.

Let's proceed to step 9:
When dividing 2640 by 971, we get 2 with a remainder of 698.
Use 2 as the next digit of our solution. 
Result so far: 78387.2
Subtracting 1942 from 2640 leaves us with 698.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6980, and continue the process.

Advancing to step 10:
6980 divided by 971 is 7 with a remainder of 183.
The number 7 becomes the next digit in our result. 
Result so far: 78387.27
If we subtract 6797 from 6980, we get 183.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1830, and continue the process.

Going ahead to step 11:
1830 divided by 971 is 1 with a remainder of 859.
Use 1 as the next digit of our solution. 
Result so far: 78387.271
Deduct 971 from 1830 and we're left with 859.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8590, and continue the process.

Going ahead to step 12:
971 can be fit into 8590 8 times, resulting in a remainder of 822.
The next digit of our result is 8. 
Result so far: 78387.2718
If we take 7768 away from 8590, we end up with 822.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8220, and continue the process.

On to step 13:
The number 971 fits into 8220 8 times, leaving a remainder of 452.
The number 8 becomes the next digit in our result. 
Result so far: 78387.27188
Deduct 7768 from 8220 and we're left with 452.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4520, and continue the process.

After the division, we end up with 78387.27188 and a remainder of 0.000452.