We divide 705673 by 42
Our goal is to divide 705673 by 42.

On to step 1:
When dividing 7 by 42, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 42

Step 2:
70 divided by 42 is 1 with a remainder of 28.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 42 away from 70, we end up with 28.
Include the next digit (5) from the dividend after 28, then repeat: 285 / 42

Let's proceed to step 3:
If we divide 285 by 42, we get 6 and a remainder of 33.
Write down 6 as next digit of the result. 
Result so far: 16.0
If we subtract 252 from 285, we get 33.
Fetch the next digit (6) from the dividend, attach it to 33 and continue: 336 / 42

On to step 4:
When dividing 336 by 42, we get 8 with a remainder of 0.
Put 8 as the next digit of the answer. 
Result so far: 168.0
Subtracting 336 from 336 leaves us with 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 42

Moving on to step 5:
42 can be fit into 7 0 times, resulting in a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 1680.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (3) from the dividend, attach it to 7 and continue: 73 / 42

Advancing to step 6:
42 can be fit into 73 1 times, resulting in a remainder of 31.
The number 1 becomes the next digit in our result. 
Result so far: 16801.0
If we take 42 away from 73, we end up with 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.
The next digit of our result is 7. 
Result so far: 16801.7
If we subtract 294 from 310, we get 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: 16801.73
Subtract 126 from 160 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 9:
42 goes into 340 8 times with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 16801.738
Subtracting 336 from 340 leaves us 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.

Going ahead to step 10:
40 divided by 42 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 16801.738
Deduct 0 from 40 and we're left 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.

Let's proceed to step 11:
42 can be fit into 400 9 times, resulting in a remainder of 22.
Use 9 as the next digit of our solution. 
Result so far: 16801.73809
If we take 378 away from 400, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 12:
If we divide 220 by 42, we get 5 and a remainder of 10.
Use 5 as the next digit of our solution. 
Result so far: 16801.738095
Subtracting 210 from 220 leaves us 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.

On to step 13:
If we divide 100 by 42, we get 2 and a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 16801.7380952
The remainder is 16 after subtracting 84 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 14:
When dividing 160 by 42, we get 3 with a remainder of 34.
The next digit of our result is 3. 
Result so far: 16801.73809523
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 outcome is 16801.73809523, with a leftover of 3.4e-08.