We divide 7701642 by 971
Let's see how many times 971 fits into 7701642.

Going ahead to step 1:
When dividing 7 by 971, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 971

On to step 2:
The number 971 fits into 77 0 times, leaving a remainder of 77.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 77 and we're left with 77.
Include the next digit (0) from the dividend after 77, then repeat: 770 / 971

Moving on to step 3:
The number 971 fits into 770 0 times, leaving a remainder of 770.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 770 after subtracting 0 from 770.
Append the next digit (1) from the dividend to 770 and continue with: 7701 / 971

Advancing to step 4:
The number 971 fits into 7701 7 times, leaving a remainder of 904.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Deduct 6797 from 7701 and we're left with 904.
Take the next digit (6) from the dividend and append it to 904, then repeat: 9046 / 971

Advancing to step 5:
When dividing 9046 by 971, we get 9 with a remainder of 307.
Record the quotient 9 as the next digit in the result. 
Result so far: 79.0
The remainder is 307 after subtracting 8739 from 9046.
Append the next digit (4) from the dividend to 307 and continue with: 3074 / 971

On to step 6:
The number 971 fits into 3074 3 times, leaving a remainder of 161.
Put 3 as the next digit of the answer. 
Result so far: 793.0
Subtract 2913 from 3074 to get 161.
Append the next digit (2) from the dividend to 161 and continue with: 1612 / 971

Advancing to step 7:
971 goes into 1612 1 times with a remainder of 641.
The number 1 becomes the next digit in our result. 
Result so far: 7931.0
If we take 971 away from 1612, we end up with 641.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6410, and continue the process.

Let's proceed to step 8:
The number 971 fits into 6410 6 times, leaving a remainder of 584.
Use 6 as the next digit of our solution. 
Result so far: 7931.6
Subtracting 5826 from 6410 leaves us with 584.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5840, and continue the process.

Moving on to step 9:
When dividing 5840 by 971, we get 6 with a remainder of 14.
Put 6 as the next digit of the answer. 
Result so far: 7931.66
Subtract 5826 from 5840 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

After the division, we end up with 7931.66 and a remainder of 0.014.