We look at the division of 437605 by 71 
Our goal is to divide 437605 by 71.

Advancing to step 1:
The number 71 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 71

Let's proceed to step 2:
43 divided by 71 is 0 with a remainder of 43.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 43 and we're left with 43.
Include the next digit (7) from the dividend after 43, then repeat: 437 / 71

Moving on to step 3:
If we divide 437 by 71, we get 6 and a remainder of 11.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 426 from 437 to get 11.
Append the next digit (6) from the dividend to 11 and continue with: 116 / 71

Advancing to step 4:
When dividing 116 by 71, we get 1 with a remainder of 45.
Put 1 as the next digit of the answer. 
Result so far: 61.0
If we take 71 away from 116, we end up with 45.
Grab the next digit (0) from the dividend, add it to 45, then carry on: 450 / 71

Let's proceed to step 5:
71 can be fit into 450 6 times, resulting in a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 616.0
If we take 426 away from 450, we end up with 24.
Grab the next digit (5) from the dividend, add it to 24, then carry on: 245 / 71

Advancing to step 6:
71 goes into 245 3 times with a remainder of 32.
The number 3 becomes the next digit in our result. 
Result so far: 6163.0
Deduct 213 from 245 and we're left 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.

Step 7:
When dividing 320 by 71, we get 4 with a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 6163.4
If we subtract 284 from 320, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 8:
If we divide 360 by 71, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 6163.45
Deduct 355 from 360 and we're left 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.

Advancing to step 9:
71 goes into 50 0 times with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 6163.45
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 10:
71 can be fit into 500 7 times, resulting in a remainder of 3.
The next digit of our result is 7. 
Result so far: 6163.4507
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.

Going ahead to step 11:
The number 71 fits into 30 0 times, leaving a remainder of 30.
The next digit of our result is 0. 
Result so far: 6163.4507
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 12:
When dividing 300 by 71, we get 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 6163.450704
Deduct 284 from 300 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 13:
71 goes into 160 2 times with a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 6163.4507042
If we subtract 142 from 160, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 14:
71 goes into 180 2 times with a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 6163.45070422
If we subtract 142 from 180, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

After the division, we end up with 6163.45070422 and a remainder of 3.8e-08.