101764 ÷ 71 
We want to figure out the number of times 101764 can be divided by 71.

Advancing to step 1:
If we divide 1 by 71, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 71

On to step 2:
71 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Bring next digit (1) of the dividend behind the 10 and repeat the process: 101 / 71

Advancing to step 3:
71 can be fit into 101 1 times, resulting in a remainder of 30.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtract 71 from 101 to get 30.
Fetch the next digit (7) from the dividend, attach it to 30 and continue: 307 / 71

Advancing to step 4:
71 can be fit into 307 4 times, resulting in a remainder of 23.
Write down 4 as next digit of the result. 
Result so far: 14.0
Subtract 284 from 307 to get 23.
Take the next digit (6) from the dividend and append it to 23, then repeat: 236 / 71

Let's proceed to step 5:
The number 71 fits into 236 3 times, leaving a remainder of 23.
The next digit of our result is 3. 
Result so far: 143.0
If we subtract 213 from 236, we get 23.
Grab the next digit (4) from the dividend, add it to 23, then carry on: 234 / 71

On to step 6:
71 goes into 234 3 times with a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 1433.0
The remainder is 21 after subtracting 213 from 234.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 7:
The number 71 fits into 210 2 times, leaving a remainder of 68.
The number 2 becomes the next digit in our result. 
Result so far: 1433.2
The remainder is 68 after subtracting 142 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 8:
The number 71 fits into 680 9 times, leaving a remainder of 41.
The number 9 becomes the next digit in our result. 
Result so far: 1433.29
Deduct 639 from 680 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

On to step 9:
When dividing 410 by 71, we get 5 with a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 1433.295
Subtract 355 from 410 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 10:
When dividing 550 by 71, we get 7 with a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 1433.2957
The remainder is 53 after subtracting 497 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

On to step 11:
When dividing 530 by 71, we get 7 with a remainder of 33.
The number 7 becomes the next digit in our result. 
Result so far: 1433.29577
If we subtract 497 from 530, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

In conclusion, the division gives 1433.29577 with a balance of 3.3e-05.