555966 divided by 42 
We want to figure out the number of times 555966 can be divided by 42.

Let's proceed to step 1:
The number 42 fits into 5 0 times, leaving a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 42

Let's proceed to step 2:
42 can be fit into 55 1 times, resulting in a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 42 from 55 and we're left with 13.
Append the next digit (5) from the dividend to 13 and continue with: 135 / 42

Let's proceed to step 3:
If we divide 135 by 42, we get 3 and a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
If we take 126 away from 135, we end up with 9.
Grab the next digit (9) from the dividend, add it to 9, then carry on: 99 / 42

Step 4:
When dividing 99 by 42, we get 2 with a remainder of 15.
Put 2 as the next digit of the answer. 
Result so far: 132.0
Deduct 84 from 99 and we're left with 15.
Fetch the next digit (6) from the dividend, attach it to 15 and continue: 156 / 42

Advancing to step 5:
If we divide 156 by 42, we get 3 and a remainder of 30.
The next digit of our result is 3. 
Result so far: 1323.0
Subtracting 126 from 156 leaves us with 30.
Grab the next digit (6) from the dividend, add it to 30, then carry on: 306 / 42

Going ahead to step 6:
306 divided by 42 is 7 with a remainder of 12.
Use 7 as the next digit of our solution. 
Result so far: 13237.0
Subtract 294 from 306 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 7:
120 divided by 42 is 2 with a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 13237.2
Deduct 84 from 120 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 8:
If we divide 360 by 42, we get 8 and a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 13237.28
Deduct 336 from 360 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 9:
42 goes into 240 5 times with a remainder of 30.
The next digit of our result is 5. 
Result so far: 13237.285
Subtract 210 from 240 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 10:
The number 42 fits into 300 7 times, leaving a remainder of 6.
Record the quotient 7 as the next digit in the result. 
Result so far: 13237.2857
If we take 294 away from 300, we end up 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.

Let's proceed to step 11:
42 goes into 60 1 times with a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 13237.28571
The remainder is 18 after subtracting 42 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 12:
180 divided by 42 is 4 with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 13237.285714
If we take 168 away from 180, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 13:
The number 42 fits into 120 2 times, leaving a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 13237.2857142
If we subtract 84 from 120, 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.

Going ahead to step 14:
When dividing 360 by 42, we get 8 with a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 13237.28571428
Subtract 336 from 360 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.

In conclusion, the division gives 13237.28571428 with a balance of 2.4e-08.