We look at the division of 101435 by 74 
We're looking to find how many times 74 goes into 101435.

Let's proceed to step 1:
74 can be fit into 1 0 times, resulting in a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 74

On to step 2:
When dividing 10 by 74, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Grab the next digit (1) from the dividend, add it to 10, then carry on: 101 / 74

On to step 3:
If we divide 101 by 74, we get 1 and a remainder of 27.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 27 after subtracting 74 from 101.
Include the next digit (4) from the dividend after 27, then repeat: 274 / 74

Advancing to step 4:
When dividing 274 by 74, we get 3 with a remainder of 52.
The next digit of our result is 3. 
Result so far: 13.0
The remainder is 52 after subtracting 222 from 274.
Append the next digit (3) from the dividend to 52 and continue with: 523 / 74

Let's proceed to step 5:
If we divide 523 by 74, we get 7 and a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 137.0
Subtract 518 from 523 to get 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 74

Let's proceed to step 6:
When dividing 55 by 74, we get 0 with a remainder of 55.
Put 0 as the next digit of the answer. 
Result so far: 1370.0
Subtract 0 from 55 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 7:
74 can be fit into 550 7 times, resulting in a remainder of 32.
Use 7 as the next digit of our solution. 
Result so far: 1370.7
If we take 518 away from 550, 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 8:
320 divided by 74 is 4 with a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 1370.74
The remainder is 24 after subtracting 296 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 9:
74 goes into 240 3 times with a remainder of 18.
Write down 3 as next digit of the result. 
Result so far: 1370.743
Deduct 222 from 240 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 10:
74 goes into 180 2 times with a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 1370.7432
Subtract 148 from 180 to get 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 11:
74 goes into 320 4 times with a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 1370.74324
The remainder is 24 after subtracting 296 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 12:
74 can be fit into 240 3 times, resulting in a remainder of 18.
Record the quotient 3 as the next digit in the result. 
Result so far: 1370.743243
Deduct 222 from 240 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 13:
180 divided by 74 is 2 with a remainder of 32.
The number 2 becomes the next digit in our result. 
Result so far: 1370.7432432
The remainder is 32 after subtracting 148 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Let's proceed to step 14:
If we divide 320 by 74, we get 4 and a remainder of 24.
Write down 4 as next digit of the result. 
Result so far: 1370.74324324
Subtract 296 from 320 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

After the division, we end up with 1370.74324324 and a remainder of 2.4e-08.