71916 ÷ 35 
We want to figure out the number of times 71916 can be divided by 35.

Advancing to step 1:
The number 35 fits into 7 0 times, leaving a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 35

Advancing to step 2:
71 divided by 35 is 2 with a remainder of 1.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we take 70 away from 71, we end up with 1.
Include the next digit (9) from the dividend after 1, then repeat: 19 / 35

Going ahead to step 3:
35 can be fit into 19 0 times, resulting in a remainder of 19.
Use 0 as the next digit of our solution. 
Result so far: 20.0
Deduct 0 from 19 and we're left with 19.
Grab the next digit (1) from the dividend, add it to 19, then carry on: 191 / 35

Going ahead to step 4:
35 goes into 191 5 times with a remainder of 16.
Record the quotient 5 as the next digit in the result. 
Result so far: 205.0
If we subtract 175 from 191, we get 16.
Append the next digit (6) from the dividend to 16 and continue with: 166 / 35

On to step 5:
166 divided by 35 is 4 with a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 2054.0
Subtract 140 from 166 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 6:
If we divide 260 by 35, we get 7 and a remainder of 15.
Record the quotient 7 as the next digit in the result. 
Result so far: 2054.7
The remainder is 15 after subtracting 245 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 7:
If we divide 150 by 35, we get 4 and a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 2054.74
If we subtract 140 from 150, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 8:
35 can be fit into 100 2 times, resulting in a remainder of 30.
The number 2 becomes the next digit in our result. 
Result so far: 2054.742
Subtracting 70 from 100 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 9:
When dividing 300 by 35, we get 8 with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 2054.7428
Deduct 280 from 300 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 10:
35 goes into 200 5 times with a remainder of 25.
The next digit of our result is 5. 
Result so far: 2054.74285
The remainder is 25 after subtracting 175 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 11:
35 can be fit into 250 7 times, resulting in a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 2054.742857
Subtract 245 from 250 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 12:
50 divided by 35 is 1 with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 2054.7428571
The remainder is 15 after subtracting 35 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 13:
If we divide 150 by 35, we get 4 and a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 2054.74285714
Subtracting 140 from 150 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 2054.74285714, and the remainder is 1e-08.