420533 ÷ 7 
We want to figure out the number of times 420533 can be divided by 7.

Advancing to step 1:
If we divide 4 by 7, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 7

Step 2:
7 goes into 42 6 times with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 42 from 42, we get 0.
Append the next digit (0) from the dividend to 0 and continue with: 0 / 7

Moving on to step 3:
0 divided by 7 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 60.0
Subtracting 0 from 0 leaves us with 0.
Include the next digit (5) from the dividend after 0, then repeat: 5 / 7

Advancing to step 4:
When dividing 5 by 7, we get 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 600.0
Subtract 0 from 5 to get 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 7

Going ahead to step 5:
When dividing 53 by 7, we get 7 with a remainder of 4.
The next digit of our result is 7. 
Result so far: 6007.0
Deduct 49 from 53 and we're left with 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 7

Moving on to step 6:
When dividing 43 by 7, we get 6 with a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 60076.0
The remainder is 1 after subtracting 42 from 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
7 goes into 10 1 times with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 60076.1
Subtracting 7 from 10 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.

Advancing to step 8:
30 divided by 7 is 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 60076.14
If we subtract 28 from 30, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 9:
7 goes into 20 2 times with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 60076.142
Deduct 14 from 20 and we're left with 6.
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 10:
7 can be fit into 60 8 times, resulting in a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 60076.1428
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 11:
If we divide 40 by 7, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 60076.14285
If we take 35 away from 40, we end up 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.

Step 12:
If we divide 50 by 7, we get 7 and a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 60076.142857
If we take 49 away from 50, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 13:
7 can be fit into 10 1 times, resulting in a remainder of 3.
The next digit of our result is 1. 
Result so far: 60076.1428571
Deduct 7 from 10 and we're left 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.

Step 14:
7 goes into 30 4 times with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 60076.14285714
If we subtract 28 from 30, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 60076.14285714, with a leftover of 2e-09.