545623 ÷ 71 
Our goal is to divide 545623 by 71.

Step 1:
The number 71 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Fetch the next digit (4) from the dividend, attach it to 5 and continue: 54 / 71

Step 2:
54 divided by 71 is 0 with a remainder of 54.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 54 and we're left with 54.
Bring next digit (5) of the dividend behind the 54 and repeat the process: 545 / 71

Let's proceed to step 3:
The number 71 fits into 545 7 times, leaving a remainder of 48.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtracting 497 from 545 leaves us with 48.
Include the next digit (6) from the dividend after 48, then repeat: 486 / 71

Let's proceed to step 4:
If we divide 486 by 71, we get 6 and a remainder of 60.
Record the quotient 6 as the next digit in the result. 
Result so far: 76.0
The remainder is 60 after subtracting 426 from 486.
Bring next digit (2) of the dividend behind the 60 and repeat the process: 602 / 71

Moving on to step 5:
When dividing 602 by 71, we get 8 with a remainder of 34.
Record the quotient 8 as the next digit in the result. 
Result so far: 768.0
If we take 568 away from 602, we end up with 34.
Bring next digit (3) of the dividend behind the 34 and repeat the process: 343 / 71

On to step 6:
71 can be fit into 343 4 times, resulting in a remainder of 59.
The number 4 becomes the next digit in our result. 
Result so far: 7684.0
Subtracting 284 from 343 leaves us with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 7:
590 divided by 71 is 8 with a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 7684.8
Subtracting 568 from 590 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 8:
71 can be fit into 220 3 times, resulting in a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 7684.83
If we take 213 away from 220, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
71 can be fit into 70 0 times, resulting in a remainder of 70.
The next digit of our result is 0. 
Result so far: 7684.83
Deduct 0 from 70 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 10:
The number 71 fits into 700 9 times, leaving a remainder of 61.
The number 9 becomes the next digit in our result. 
Result so far: 7684.8309
The remainder is 61 after subtracting 639 from 700.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Moving on to step 11:
The number 71 fits into 610 8 times, leaving a remainder of 42.
Use 8 as the next digit of our solution. 
Result so far: 7684.83098
Deduct 568 from 610 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 12:
71 goes into 420 5 times with a remainder of 65.
Use 5 as the next digit of our solution. 
Result so far: 7684.830985
Deduct 355 from 420 and we're left with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Advancing to step 13:
If we divide 650 by 71, we get 9 and a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 7684.8309859
Deduct 639 from 650 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 14:
When dividing 110 by 71, we get 1 with a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 7684.83098591
Subtract 71 from 110 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

The final result is 7684.83098591 with a remainder of 3.9e-08.