We're dividing 389677 by 71 
We want to figure out the number of times 389677 can be divided by 71.

Moving on to step 1:
71 can be fit into 3 0 times, resulting in a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 71

Step 2:
71 can be fit into 38 0 times, resulting in a remainder of 38.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 38 to get 38.
Append the next digit (9) from the dividend to 38 and continue with: 389 / 71

Going ahead to step 3:
If we divide 389 by 71, we get 5 and a remainder of 34.
Use 5 as the next digit of our solution. 
Result so far: 5.0
If we take 355 away from 389, we end up with 34.
Grab the next digit (6) from the dividend, add it to 34, then carry on: 346 / 71

Advancing to step 4:
When dividing 346 by 71, we get 4 with a remainder of 62.
Put 4 as the next digit of the answer. 
Result so far: 54.0
If we subtract 284 from 346, we get 62.
Bring next digit (7) of the dividend behind the 62 and repeat the process: 627 / 71

Let's proceed to step 5:
The number 71 fits into 627 8 times, leaving a remainder of 59.
Write down 8 as next digit of the result. 
Result so far: 548.0
Subtracting 568 from 627 leaves us with 59.
Append the next digit (7) from the dividend to 59 and continue with: 597 / 71

Moving on to step 6:
597 divided by 71 is 8 with a remainder of 29.
Use 8 as the next digit of our solution. 
Result so far: 5488.0
The remainder is 29 after subtracting 568 from 597.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 7:
71 can be fit into 290 4 times, resulting in a remainder of 6.
The next digit of our result is 4. 
Result so far: 5488.4
If we subtract 284 from 290, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 8:
71 goes into 60 0 times with a remainder of 60.
The next digit of our result is 0. 
Result so far: 5488.4
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 9:
71 can be fit into 600 8 times, resulting in a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 5488.408
Subtracting 568 from 600 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 10:
71 can be fit into 320 4 times, resulting in a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 5488.4084
The remainder is 36 after subtracting 284 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 11:
If we divide 360 by 71, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 5488.40845
If we take 355 away from 360, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 12:
If we divide 50 by 71, we get 0 and a remainder of 50.
The next digit of our result is 0. 
Result so far: 5488.40845
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 13:
71 can be fit into 500 7 times, resulting in a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 5488.4084507
If we take 497 away from 500, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 14:
The number 71 fits into 30 0 times, leaving a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 5488.4084507
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 5488.4084507 and a remainder of 3e-08.