461945 ÷ 71 
We want to divide 461945 by 71.

Moving on to step 1:
The number 71 fits into 4 0 times, leaving a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 71

Step 2:
The number 71 fits into 46 0 times, leaving a remainder of 46.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 46, we end up with 46.
Fetch the next digit (1) from the dividend, attach it to 46 and continue: 461 / 71

Let's proceed to step 3:
71 goes into 461 6 times with a remainder of 35.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 426 away from 461, we end up with 35.
Include the next digit (9) from the dividend after 35, then repeat: 359 / 71

Going ahead to step 4:
When dividing 359 by 71, we get 5 with a remainder of 4.
Write down 5 as next digit of the result. 
Result so far: 65.0
If we take 355 away from 359, we end up with 4.
Grab the next digit (4) from the dividend, add it to 4, then carry on: 44 / 71

Going ahead to step 5:
44 divided by 71 is 0 with a remainder of 44.
The next digit of our result is 0. 
Result so far: 650.0
Subtracting 0 from 44 leaves us with 44.
Take the next digit (5) from the dividend and append it to 44, then repeat: 445 / 71

Going ahead to step 6:
71 can be fit into 445 6 times, resulting in a remainder of 19.
Record the quotient 6 as the next digit in the result. 
Result so far: 6506.0
If we take 426 away from 445, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Advancing to step 7:
The number 71 fits into 190 2 times, leaving a remainder of 48.
The next digit of our result is 2. 
Result so far: 6506.2
If we take 142 away from 190, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 8:
71 goes into 480 6 times with a remainder of 54.
Use 6 as the next digit of our solution. 
Result so far: 6506.26
Subtracting 426 from 480 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 9:
When dividing 540 by 71, we get 7 with a remainder of 43.
Write down 7 as next digit of the result. 
Result so far: 6506.267
If we take 497 away from 540, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 10:
The number 71 fits into 430 6 times, leaving a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 6506.2676
If we subtract 426 from 430, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
The number 71 fits into 40 0 times, leaving a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 6506.2676
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 12:
71 can be fit into 400 5 times, resulting in a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 6506.267605
If we take 355 away from 400, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 13:
When dividing 450 by 71, we get 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 6506.2676056
Subtract 426 from 450 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 14:
240 divided by 71 is 3 with a remainder of 27.
Use 3 as the next digit of our solution. 
Result so far: 6506.26760563
Deduct 213 from 240 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Our division results in 6506.26760563 with a remaining 2.7e-08.