Let's divide 551969 by 42
We're looking to find how many times 42 goes into 551969.

Advancing to step 1:
42 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 42

Advancing to step 2:
If we divide 55 by 42, we get 1 and a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 42 from 55 leaves us with 13.
Take the next digit (1) from the dividend and append it to 13, then repeat: 131 / 42

Step 3:
When dividing 131 by 42, we get 3 with a remainder of 5.
Use 3 as the next digit of our solution. 
Result so far: 13.0
The remainder is 5 after subtracting 126 from 131.
Include the next digit (9) from the dividend after 5, then repeat: 59 / 42

Step 4:
When dividing 59 by 42, we get 1 with a remainder of 17.
The next digit of our result is 1. 
Result so far: 131.0
Deduct 42 from 59 and we're left with 17.
Take the next digit (6) from the dividend and append it to 17, then repeat: 176 / 42

On to step 5:
42 goes into 176 4 times with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 1314.0
The remainder is 8 after subtracting 168 from 176.
Take the next digit (9) from the dividend and append it to 8, then repeat: 89 / 42

Going ahead to step 6:
When dividing 89 by 42, we get 2 with a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 13142.0
If we take 84 away from 89, 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.

On to step 7:
42 goes into 50 1 times with a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 13142.1
Subtracting 42 from 50 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 8:
42 can be fit into 80 1 times, resulting in a remainder of 38.
The number 1 becomes the next digit in our result. 
Result so far: 13142.11
The remainder is 38 after subtracting 42 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The final result is 13142.11 with a remainder of 0.038.