953413 divided by 42 
Our goal is to divide 953413 by 42.

Advancing to step 1:
9 divided by 42 is 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 42

Let's proceed to step 2:
42 can be fit into 95 2 times, resulting in a remainder of 11.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 84 from 95 and we're left with 11.
Include the next digit (3) from the dividend after 11, then repeat: 113 / 42

Step 3:
If we divide 113 by 42, we get 2 and a remainder of 29.
The next digit of our result is 2. 
Result so far: 22.0
Deduct 84 from 113 and we're left with 29.
Grab the next digit (4) from the dividend, add it to 29, then carry on: 294 / 42

Step 4:
42 can be fit into 294 7 times, resulting in a remainder of 0.
Record the quotient 7 as the next digit in the result. 
Result so far: 227.0
Subtracting 294 from 294 leaves us with 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 42

Moving on to step 5:
1 divided by 42 is 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 2270.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 42

Advancing to step 6:
42 goes into 13 0 times with a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 22700.0
Deduct 0 from 13 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 7:
When dividing 130 by 42, we get 3 with a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 22700.3
Subtract 126 from 130 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.

On to step 8:
42 goes into 40 0 times with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 22700.3
If we subtract 0 from 40, we get 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 9:
If we divide 400 by 42, we get 9 and a remainder of 22.
The number 9 becomes the next digit in our result. 
Result so far: 22700.309
If we subtract 378 from 400, we 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.

Moving on to step 10:
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: 22700.3095
The remainder is 10 after subtracting 210 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 11:
100 divided by 42 is 2 with a remainder of 16.
The next digit of our result is 2. 
Result so far: 22700.30952
Subtracting 84 from 100 leaves us 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.

Let's proceed to step 12:
The number 42 fits into 160 3 times, leaving a remainder of 34.
The number 3 becomes the next digit in our result. 
Result so far: 22700.309523
Subtracting 126 from 160 leaves us 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.

On to step 13:
340 divided by 42 is 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 22700.3095238
Deduct 336 from 340 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 14:
If we divide 40 by 42, we get 0 and a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 22700.3095238
The remainder is 40 after subtracting 0 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The quotient of the division is 22700.3095238, and the remainder is 4e-08.