970315 divided by 42 
We want to figure out the number of times 970315 can be divided by 42.

Step 1:
The number 42 fits into 9 0 times, leaving a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 42

Let's proceed to step 2:
97 divided by 42 is 2 with a remainder of 13.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 13 after subtracting 84 from 97.
Append the next digit (0) from the dividend to 13 and continue with: 130 / 42

Let's proceed to step 3:
42 can be fit into 130 3 times, resulting in a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 23.0
The remainder is 4 after subtracting 126 from 130.
Append the next digit (3) from the dividend to 4 and continue with: 43 / 42

Let's proceed to step 4:
When dividing 43 by 42, we get 1 with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 231.0
The remainder is 1 after subtracting 42 from 43.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 42

Let's proceed to step 5:
If we divide 11 by 42, we get 0 and a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 2310.0
If we subtract 0 from 11, we get 11.
Take the next digit (5) from the dividend and append it to 11, then repeat: 115 / 42

Let's proceed to step 6:
115 divided by 42 is 2 with a remainder of 31.
The next digit of our result is 2. 
Result so far: 23102.0
If we subtract 84 from 115, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 7:
The number 42 fits into 310 7 times, leaving a remainder of 16.
Put 7 as the next digit of the answer. 
Result so far: 23102.7
Deduct 294 from 310 and we're left with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 8:
When dividing 160 by 42, we get 3 with a remainder of 34.
Record the quotient 3 as the next digit in the result. 
Result so far: 23102.73
If we take 126 away from 160, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 9:
42 goes into 340 8 times with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 23102.738
Subtract 336 from 340 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 10:
42 can be fit into 40 0 times, resulting in a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 23102.738
Subtracting 0 from 40 leaves us 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 11:
42 can be fit into 400 9 times, resulting in a remainder of 22.
The number 9 becomes the next digit in our result. 
Result so far: 23102.73809
Subtract 378 from 400 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 12:
When dividing 220 by 42, we get 5 with a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 23102.738095
If we take 210 away from 220, 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.

Step 13:
If we divide 100 by 42, we get 2 and a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 23102.7380952
If we take 84 away from 100, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 14:
42 goes into 160 3 times with a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 23102.73809523
Deduct 126 from 160 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

The final result is 23102.73809523 with a remainder of 3.4e-08.