We're dividing 269534 by 42 
Let's see how many times 42 fits into 269534.

Moving on to step 1:
2 divided by 42 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 2, we get 2.
Bring next digit (6) of the dividend behind the 2 and repeat the process: 26 / 42

Going ahead to step 2:
The number 42 fits into 26 0 times, leaving a remainder of 26.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 26 leaves us with 26.
Fetch the next digit (9) from the dividend, attach it to 26 and continue: 269 / 42

Advancing to step 3:
When dividing 269 by 42, we get 6 with a remainder of 17.
Use 6 as the next digit of our solution. 
Result so far: 6.0
The remainder is 17 after subtracting 252 from 269.
Grab the next digit (5) from the dividend, add it to 17, then carry on: 175 / 42

Advancing to step 4:
175 divided by 42 is 4 with a remainder of 7.
Use 4 as the next digit of our solution. 
Result so far: 64.0
The remainder is 7 after subtracting 168 from 175.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 42

Advancing to step 5:
73 divided by 42 is 1 with a remainder of 31.
Use 1 as the next digit of our solution. 
Result so far: 641.0
If we take 42 away from 73, we end up with 31.
Bring next digit (4) of the dividend behind the 31 and repeat the process: 314 / 42

Let's proceed to step 6:
If we divide 314 by 42, we get 7 and a remainder of 20.
The number 7 becomes the next digit in our result. 
Result so far: 6417.0
If we subtract 294 from 314, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
The number 42 fits into 200 4 times, leaving a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 6417.4
Deduct 168 from 200 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 8:
320 divided by 42 is 7 with a remainder of 26.
Write down 7 as next digit of the result. 
Result so far: 6417.47
Deduct 294 from 320 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 9:
260 divided by 42 is 6 with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 6417.476
The remainder is 8 after subtracting 252 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 10:
42 goes into 80 1 times with a remainder of 38.
Use 1 as the next digit of our solution. 
Result so far: 6417.4761
If we take 42 away from 80, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Let's proceed to step 11:
42 goes into 380 9 times with a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 6417.47619
If we take 378 away from 380, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 12:
If we divide 20 by 42, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 6417.47619
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 13:
200 divided by 42 is 4 with a remainder of 32.
Record the quotient 4 as the next digit in the result. 
Result so far: 6417.4761904
If we take 168 away from 200, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 14:
If we divide 320 by 42, we get 7 and a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 6417.47619047
Subtract 294 from 320 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The quotient of the division is 6417.47619047, and the remainder is 2.6e-08.