7961 ÷ 16 
We're looking to find how many times 16 goes into 7961.

Let's proceed to step 1:
When dividing 7 by 16, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Grab the next digit (9) from the dividend, add it to 7, then carry on: 79 / 16

Going ahead to step 2:
The number 16 fits into 79 4 times, leaving a remainder of 15.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Deduct 64 from 79 and we're left with 15.
Append the next digit (6) from the dividend to 15 and continue with: 156 / 16

Advancing to step 3:
When dividing 156 by 16, we get 9 with a remainder of 12.
Record the quotient 9 as the next digit in the result. 
Result so far: 49.0
Subtracting 144 from 156 leaves us with 12.
Bring next digit (1) of the dividend behind the 12 and repeat the process: 121 / 16

Moving on to step 4:
16 can be fit into 121 7 times, resulting in a remainder of 9.
The next digit of our result is 7. 
Result so far: 497.0
Subtract 112 from 121 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 5:
When dividing 90 by 16, we get 5 with a remainder of 10.
Write down 5 as next digit of the result. 
Result so far: 497.5
The remainder is 10 after subtracting 80 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 6:
The number 16 fits into 100 6 times, leaving a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 497.56
Deduct 96 from 100 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
16 can be fit into 40 2 times, resulting in a remainder of 8.
The next digit of our result is 2. 
Result so far: 497.562
Subtract 32 from 40 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 8:
The number 16 fits into 80 5 times, leaving a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 497.5625
Deduct 80 from 80 and we're left 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.

On to step 9:
16 goes into 0 0 times with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 497.5625
Subtract 0 from 0 to 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 10:
0 divided by 16 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 497.5625
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.

In conclusion, the division gives 497.5625 with a balance of 0.0.