Let's divide 74642 by 35
We want to figure out the number of times 74642 can be divided by 35.

Let's proceed to step 1:
When dividing 7 by 35, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 35

Step 2:
74 divided by 35 is 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 2.0
If we take 70 away from 74, we end up with 4.
Take the next digit (6) from the dividend and append it to 4, then repeat: 46 / 35

Let's proceed to step 3:
46 divided by 35 is 1 with a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 21.0
Subtract 35 from 46 to get 11.
Grab the next digit (4) from the dividend, add it to 11, then carry on: 114 / 35

Advancing to step 4:
When dividing 114 by 35, we get 3 with a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 213.0
Subtract 105 from 114 to get 9.
Include the next digit (2) from the dividend after 9, then repeat: 92 / 35

Going ahead to step 5:
The number 35 fits into 92 2 times, leaving a remainder of 22.
Use 2 as the next digit of our solution. 
Result so far: 2132.0
Subtracting 70 from 92 leaves us 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.

Let's proceed to step 6:
If we divide 220 by 35, we get 6 and a remainder of 10.
The number 6 becomes the next digit in our result. 
Result so far: 2132.6
Subtract 210 from 220 to 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.

Advancing to step 7:
35 can be fit into 100 2 times, resulting in a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 2132.62
If we subtract 70 from 100, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
If we divide 300 by 35, we get 8 and a remainder of 20.
The next digit of our result is 8. 
Result so far: 2132.628
If we take 280 away from 300, we end up 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.

Going ahead to step 9:
The number 35 fits into 200 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 2132.6285
The remainder is 25 after subtracting 175 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 10:
When dividing 250 by 35, we get 7 with a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 2132.62857
Deduct 245 from 250 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 11:
35 goes into 50 1 times with a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 2132.628571
Subtract 35 from 50 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 12:
When dividing 150 by 35, we get 4 with a remainder of 10.
The next digit of our result is 4. 
Result so far: 2132.6285714
Deduct 140 from 150 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.

Moving on to step 13:
When dividing 100 by 35, we get 2 with a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 2132.62857142
Subtracting 70 from 100 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

In conclusion, the division gives 2132.62857142 with a balance of 3e-08.