We're dividing 420663 by 70 
We want to figure out the number of times 420663 can be divided by 70.

Moving on to step 1:
70 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 70

Let's proceed to step 2:
When dividing 42 by 70, we get 0 with a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 42 after subtracting 0 from 42.
Fetch the next digit (0) from the dividend, attach it to 42 and continue: 420 / 70

On to step 3:
The number 70 fits into 420 6 times, leaving a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtract 420 from 420 to get 0.
Fetch the next digit (6) from the dividend, attach it to 0 and continue: 6 / 70

On to step 4:
The number 70 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 60.0
Subtract 0 from 6 to get 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 70

Advancing to step 5:
If we divide 66 by 70, we get 0 and a remainder of 66.
The next digit of our result is 0. 
Result so far: 600.0
Subtract 0 from 66 to get 66.
Include the next digit (3) from the dividend after 66, then repeat: 663 / 70

Moving on to step 6:
663 divided by 70 is 9 with a remainder of 33.
Write down 9 as next digit of the result. 
Result so far: 6009.0
Deduct 630 from 663 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 7:
330 divided by 70 is 4 with a remainder of 50.
Use 4 as the next digit of our solution. 
Result so far: 6009.4
Subtract 280 from 330 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 8:
70 can be fit into 500 7 times, resulting in a remainder of 10.
The number 7 becomes the next digit in our result. 
Result so far: 6009.47
If we take 490 away from 500, 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 9:
When dividing 100 by 70, we get 1 with a remainder of 30.
The number 1 becomes the next digit in our result. 
Result so far: 6009.471
If we take 70 away from 100, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 10:
The number 70 fits into 300 4 times, leaving a remainder of 20.
The next digit of our result is 4. 
Result so far: 6009.4714
The remainder is 20 after subtracting 280 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 11:
70 goes into 200 2 times with a remainder of 60.
Write down 2 as next digit of the result. 
Result so far: 6009.47142
Deduct 140 from 200 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 12:
70 goes into 600 8 times with a remainder of 40.
The number 8 becomes the next digit in our result. 
Result so far: 6009.471428
Deduct 560 from 600 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 13:
400 divided by 70 is 5 with a remainder of 50.
The next digit of our result is 5. 
Result so far: 6009.4714285
Subtracting 350 from 400 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.

Let's proceed to step 14:
500 divided by 70 is 7 with a remainder of 10.
Use 7 as the next digit of our solution. 
Result so far: 6009.47142857
The remainder is 10 after subtracting 490 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final outcome is 6009.47142857, with a leftover of 1e-08.