300627 ÷ 42 
We want to figure out the number of times 300627 can be divided by 42.

Going ahead to step 1:
The number 42 fits into 3 0 times, leaving a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (0) from the dividend, add it to 3, then carry on: 30 / 42

Moving on to step 2:
If we divide 30 by 42, we get 0 and a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 30 to get 30.
Fetch the next digit (0) from the dividend, attach it to 30 and continue: 300 / 42

Advancing to step 3:
42 can be fit into 300 7 times, resulting in a remainder of 6.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 294 from 300 leaves us with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 42

On to step 4:
If we divide 66 by 42, we get 1 and a remainder of 24.
Put 1 as the next digit of the answer. 
Result so far: 71.0
Subtracting 42 from 66 leaves us with 24.
Bring next digit (2) of the dividend behind the 24 and repeat the process: 242 / 42

Moving on to step 5:
When dividing 242 by 42, we get 5 with a remainder of 32.
Record the quotient 5 as the next digit in the result. 
Result so far: 715.0
Subtracting 210 from 242 leaves us with 32.
Bring next digit (7) of the dividend behind the 32 and repeat the process: 327 / 42

Let's proceed to step 6:
42 can be fit into 327 7 times, resulting in a remainder of 33.
Record the quotient 7 as the next digit in the result. 
Result so far: 7157.0
If we take 294 away from 327, we end up 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.

Going ahead to step 7:
42 can be fit into 330 7 times, resulting in a remainder of 36.
Use 7 as the next digit of our solution. 
Result so far: 7157.7
The remainder is 36 after subtracting 294 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 8:
The number 42 fits into 360 8 times, leaving a remainder of 24.
Use 8 as the next digit of our solution. 
Result so far: 7157.78
If we take 336 away from 360, we end up 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.
Record the quotient 5 as the next digit in the result. 
Result so far: 7157.785
If we subtract 210 from 240, we 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.

Let's proceed to step 10:
If we divide 300 by 42, we get 7 and a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 7157.7857
Deduct 294 from 300 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.

Going ahead to step 11:
60 divided by 42 is 1 with a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 7157.78571
If we subtract 42 from 60, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 12:
The number 42 fits into 180 4 times, leaving a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 7157.785714
Deduct 168 from 180 and we're left 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.

Step 13:
120 divided by 42 is 2 with a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 7157.7857142
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.

Let's proceed to step 14:
The number 42 fits into 360 8 times, leaving a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 7157.78571428
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.

Our division results in 7157.78571428 with a remaining 2.4e-08.