We divide 420401 by 71
We want to figure out the number of times 420401 can be divided by 71.

Let's proceed to step 1:
71 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 71

Step 2:
If we divide 42 by 71, we get 0 and a remainder of 42.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 42 to get 42.
Grab the next digit (0) from the dividend, add it to 42, then carry on: 420 / 71

Going ahead to step 3:
If we divide 420 by 71, we get 5 and a remainder of 65.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtracting 355 from 420 leaves us with 65.
Take the next digit (4) from the dividend and append it to 65, then repeat: 654 / 71

Moving on to step 4:
The number 71 fits into 654 9 times, leaving a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 59.0
If we take 639 away from 654, we end up with 15.
Fetch the next digit (0) from the dividend, attach it to 15 and continue: 150 / 71

Advancing to step 5:
The number 71 fits into 150 2 times, leaving a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 592.0
The remainder is 8 after subtracting 142 from 150.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 71

Let's proceed to step 6:
71 goes into 81 1 times with a remainder of 10.
The next digit of our result is 1. 
Result so far: 5921.0
If we take 71 away from 81, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
If we divide 100 by 71, we get 1 and a remainder of 29.
The next digit of our result is 1. 
Result so far: 5921.1
Subtract 71 from 100 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

On to step 8:
71 can be fit into 290 4 times, resulting in a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 5921.14
The remainder is 6 after subtracting 284 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 9:
The number 71 fits into 60 0 times, leaving a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 5921.14
Subtract 0 from 60 to 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.

Moving on to step 10:
If we divide 600 by 71, we get 8 and a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 5921.1408
The remainder is 32 after subtracting 568 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Going ahead to step 11:
71 goes into 320 4 times with a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 5921.14084
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 12:
71 can be fit into 360 5 times, resulting in a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 5921.140845
Subtract 355 from 360 to get 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 13:
71 goes into 50 0 times with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 5921.140845
Subtracting 0 from 50 leaves us with 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 14:
If we divide 500 by 71, we get 7 and a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 5921.14084507
Subtracting 497 from 500 leaves us 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.

The quotient of the division is 5921.14084507, and the remainder is 3e-09.