Let's divide 681670 by 42
We want to figure out the number of times 681670 can be divided by 42.

Advancing to step 1:
42 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (8) from the dividend, add it to 6, then carry on: 68 / 42

Advancing to step 2:
If we divide 68 by 42, we get 1 and a remainder of 26.
The next digit of our result is 1. 
Result so far: 1.0
If we take 42 away from 68, we end up with 26.
Include the next digit (1) from the dividend after 26, then repeat: 261 / 42

On to step 3:
If we divide 261 by 42, we get 6 and a remainder of 9.
Write down 6 as next digit of the result. 
Result so far: 16.0
Subtract 252 from 261 to get 9.
Fetch the next digit (6) from the dividend, attach it to 9 and continue: 96 / 42

Step 4:
The number 42 fits into 96 2 times, leaving a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 162.0
Subtract 84 from 96 to get 12.
Take the next digit (7) from the dividend and append it to 12, then repeat: 127 / 42

Advancing to step 5:
42 can be fit into 127 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 1623.0
If we subtract 126 from 127, we get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 42

Going ahead to step 6:
42 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 16230.0
Deduct 0 from 10 and we're left 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 7:
The number 42 fits into 100 2 times, leaving a remainder of 16.
Put 2 as the next digit of the answer. 
Result so far: 16230.2
If we subtract 84 from 100, 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.

Let's proceed to step 8:
The number 42 fits into 160 3 times, leaving a remainder of 34.
Record the quotient 3 as the next digit in the result. 
Result so far: 16230.23
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.

Going ahead to step 9:
When dividing 340 by 42, we get 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 16230.238
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.

Moving on 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: 16230.238
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.

On to step 11:
400 divided by 42 is 9 with a remainder of 22.
Record the quotient 9 as the next digit in the result. 
Result so far: 16230.23809
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.

Let's proceed to step 12:
220 divided by 42 is 5 with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 16230.238095
If we subtract 210 from 220, we get 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.
The number 2 becomes the next digit in our result. 
Result so far: 16230.2380952
Deduct 84 from 100 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.

Moving on to step 14:
If we divide 160 by 42, we get 3 and a remainder of 34.
Record the quotient 3 as the next digit in the result. 
Result so far: 16230.23809523
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.

Our division results in 16230.23809523 with a remaining 3.4e-08.