We're dividing 42640435 by 679 
We want to figure out the number of times 42640435 can be divided by 679.

Let's proceed to step 1:
679 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 679

Moving on to step 2:
679 can be fit into 42 0 times, resulting in a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 42 after subtracting 0 from 42.
Bring next digit (6) of the dividend behind the 42 and repeat the process: 426 / 679

Advancing to step 3:
If we divide 426 by 679, we get 0 and a remainder of 426.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 426, we get 426.
Grab the next digit (4) from the dividend, add it to 426, then carry on: 4264 / 679

Let's proceed to step 4:
679 can be fit into 4264 6 times, resulting in a remainder of 190.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 4074 from 4264 leaves us with 190.
Fetch the next digit (0) from the dividend, attach it to 190 and continue: 1900 / 679

Moving on to step 5:
1900 divided by 679 is 2 with a remainder of 542.
Put 2 as the next digit of the answer. 
Result so far: 62.0
Subtract 1358 from 1900 to get 542.
Include the next digit (4) from the dividend after 542, then repeat: 5424 / 679

Moving on to step 6:
679 can be fit into 5424 7 times, resulting in a remainder of 671.
The next digit of our result is 7. 
Result so far: 627.0
The remainder is 671 after subtracting 4753 from 5424.
Take the next digit (3) from the dividend and append it to 671, then repeat: 6713 / 679

Let's proceed to step 7:
679 can be fit into 6713 9 times, resulting in a remainder of 602.
Put 9 as the next digit of the answer. 
Result so far: 6279.0
Deduct 6111 from 6713 and we're left with 602.
Fetch the next digit (5) from the dividend, attach it to 602 and continue: 6025 / 679

Step 8:
679 goes into 6025 8 times with a remainder of 593.
Write down 8 as next digit of the result. 
Result so far: 62798.0
Deduct 5432 from 6025 and we're left with 593.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5930, and continue the process.

Advancing to step 9:
When dividing 5930 by 679, we get 8 with a remainder of 498.
Record the quotient 8 as the next digit in the result. 
Result so far: 62798.8
Subtract 5432 from 5930 to get 498.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4980, and continue the process.

On to step 10:
679 goes into 4980 7 times with a remainder of 227.
Use 7 as the next digit of our solution. 
Result so far: 62798.87
If we subtract 4753 from 4980, we get 227.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2270, and continue the process.

Let's proceed to step 11:
2270 divided by 679 is 3 with a remainder of 233.
Put 3 as the next digit of the answer. 
Result so far: 62798.873
Subtracting 2037 from 2270 leaves us with 233.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2330, and continue the process.

Let's proceed to step 12:
When dividing 2330 by 679, we get 3 with a remainder of 293.
The number 3 becomes the next digit in our result. 
Result so far: 62798.8733
The remainder is 293 after subtracting 2037 from 2330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2930, and continue the process.

The final result is 62798.8733 with a remainder of 0.00293.