We're dividing 14364345 by 874 
Our goal is to divide 14364345 by 874.

Going ahead to step 1:
The number 874 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (4) from the dividend, add it to 1, then carry on: 14 / 874

Moving on to step 2:
14 divided by 874 is 0 with a remainder of 14.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 14 after subtracting 0 from 14.
Include the next digit (3) from the dividend after 14, then repeat: 143 / 874

On to step 3:
The number 874 fits into 143 0 times, leaving a remainder of 143.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 143 leaves us with 143.
Grab the next digit (6) from the dividend, add it to 143, then carry on: 1436 / 874

Let's proceed to step 4:
When dividing 1436 by 874, we get 1 with a remainder of 562.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 874 away from 1436, we end up with 562.
Grab the next digit (4) from the dividend, add it to 562, then carry on: 5624 / 874

Step 5:
874 can be fit into 5624 6 times, resulting in a remainder of 380.
The next digit of our result is 6. 
Result so far: 16.0
If we subtract 5244 from 5624, we get 380.
Fetch the next digit (3) from the dividend, attach it to 380 and continue: 3803 / 874

Let's proceed to step 6:
874 goes into 3803 4 times with a remainder of 307.
The next digit of our result is 4. 
Result so far: 164.0
Subtract 3496 from 3803 to get 307.
Fetch the next digit (4) from the dividend, attach it to 307 and continue: 3074 / 874

Going ahead to step 7:
If we divide 3074 by 874, we get 3 and a remainder of 452.
The next digit of our result is 3. 
Result so far: 1643.0
Deduct 2622 from 3074 and we're left with 452.
Append the next digit (5) from the dividend to 452 and continue with: 4525 / 874

Let's proceed to step 8:
If we divide 4525 by 874, we get 5 and a remainder of 155.
The number 5 becomes the next digit in our result. 
Result so far: 16435.0
If we subtract 4370 from 4525, we get 155.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1550, and continue the process.

Going ahead to step 9:
1550 divided by 874 is 1 with a remainder of 676.
Use 1 as the next digit of our solution. 
Result so far: 16435.1
The remainder is 676 after subtracting 874 from 1550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6760, and continue the process.

On to step 10:
874 can be fit into 6760 7 times, resulting in a remainder of 642.
Put 7 as the next digit of the answer. 
Result so far: 16435.17
The remainder is 642 after subtracting 6118 from 6760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6420, and continue the process.

Moving on to step 11:
If we divide 6420 by 874, we get 7 and a remainder of 302.
Use 7 as the next digit of our solution. 
Result so far: 16435.177
The remainder is 302 after subtracting 6118 from 6420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3020, and continue the process.

The final result is 16435.177 with a remainder of 0.0302.