83669 divided by 71 
We want to figure out the number of times 83669 can be divided by 71.

On to step 1:
71 can be fit into 8 0 times, resulting in a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Fetch the next digit (3) from the dividend, attach it to 8 and continue: 83 / 71

Going ahead to step 2:
83 divided by 71 is 1 with a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 71 from 83 and we're left with 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 71

Advancing to step 3:
If we divide 126 by 71, we get 1 and a remainder of 55.
Use 1 as the next digit of our solution. 
Result so far: 11.0
The remainder is 55 after subtracting 71 from 126.
Take the next digit (6) from the dividend and append it to 55, then repeat: 556 / 71

Advancing to step 4:
556 divided by 71 is 7 with a remainder of 59.
Record the quotient 7 as the next digit in the result. 
Result so far: 117.0
Deduct 497 from 556 and we're left with 59.
Append the next digit (9) from the dividend to 59 and continue with: 599 / 71

Going ahead to step 5:
The number 71 fits into 599 8 times, leaving a remainder of 31.
Use 8 as the next digit of our solution. 
Result so far: 1178.0
The remainder is 31 after subtracting 568 from 599.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 6:
71 goes into 310 4 times with a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 1178.4
Deduct 284 from 310 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 7:
260 divided by 71 is 3 with a remainder of 47.
The number 3 becomes the next digit in our result. 
Result so far: 1178.43
Subtracting 213 from 260 leaves us with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 8:
71 can be fit into 470 6 times, resulting in a remainder of 44.
The next digit of our result is 6. 
Result so far: 1178.436
Subtracting 426 from 470 leaves us with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 9:
71 can be fit into 440 6 times, resulting in a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 1178.4366
If we take 426 away from 440, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Our division results in 1178.4366 with a remaining 0.00014.