We're dividing 76833 by 71 
We're looking to find how many times 71 goes into 76833.

Let's proceed to step 1:
71 can be fit into 7 0 times, resulting in 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.
Include the next digit (6) from the dividend after 7, then repeat: 76 / 71

Moving on to step 2:
If we divide 76 by 71, we get 1 and a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 71 away from 76, we end up with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 71

Advancing to step 3:
71 can be fit into 58 0 times, resulting in a remainder of 58.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
If we take 0 away from 58, we end up with 58.
Append the next digit (3) from the dividend to 58 and continue with: 583 / 71

On to step 4:
The number 71 fits into 583 8 times, leaving a remainder of 15.
Use 8 as the next digit of our solution. 
Result so far: 108.0
The remainder is 15 after subtracting 568 from 583.
Include the next digit (3) from the dividend after 15, then repeat: 153 / 71

Let's proceed to step 5:
71 goes into 153 2 times with a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 1082.0
If we subtract 142 from 153, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 6:
If we divide 110 by 71, we get 1 and a remainder of 39.
The number 1 becomes the next digit in our result. 
Result so far: 1082.1
The remainder is 39 after subtracting 71 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Moving on to step 7:
When dividing 390 by 71, we get 5 with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 1082.15
If we take 355 away from 390, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 8:
If we divide 350 by 71, we get 4 and a remainder of 66.
The next digit of our result is 4. 
Result so far: 1082.154
Deduct 284 from 350 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 9:
If we divide 660 by 71, we get 9 and a remainder of 21.
Put 9 as the next digit of the answer. 
Result so far: 1082.1549
If we subtract 639 from 660, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 10:
The number 71 fits into 210 2 times, leaving a remainder of 68.
The next digit of our result is 2. 
Result so far: 1082.15492
If we take 142 away from 210, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 11:
When dividing 680 by 71, we get 9 with a remainder of 41.
Put 9 as the next digit of the answer. 
Result so far: 1082.154929
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.

Advancing to step 12:
If we divide 410 by 71, we get 5 and a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 1082.1549295
If we take 355 away from 410, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 13:
71 can be fit into 550 7 times, resulting in a remainder of 53.
The next digit of our result is 7. 
Result so far: 1082.15492957
Deduct 497 from 550 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

After the division, we end up with 1082.15492957 and a remainder of 5.3e-08.