Let's divide 17430 by 41
We want to figure out the number of times 17430 can be divided by 41.

Advancing to step 1:
The number 41 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 41

On to step 2:
When dividing 17 by 41, we get 0 with a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Fetch the next digit (4) from the dividend, attach it to 17 and continue: 174 / 41

Advancing to step 3:
If we divide 174 by 41, we get 4 and a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 4.0
The remainder is 10 after subtracting 164 from 174.
Append the next digit (3) from the dividend to 10 and continue with: 103 / 41

Advancing to step 4:
41 can be fit into 103 2 times, resulting in a remainder of 21.
Put 2 as the next digit of the answer. 
Result so far: 42.0
Deduct 82 from 103 and we're left with 21.
Take the next digit (0) from the dividend and append it to 21, then repeat: 210 / 41

Let's proceed to step 5:
210 divided by 41 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 425.0
Deduct 205 from 210 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.

Advancing to step 6:
50 divided by 41 is 1 with a remainder of 9.
Put 1 as the next digit of the answer. 
Result so far: 425.1
Subtracting 41 from 50 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 7:
The number 41 fits into 90 2 times, leaving a remainder of 8.
Put 2 as the next digit of the answer. 
Result so far: 425.12
Subtract 82 from 90 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 8:
80 divided by 41 is 1 with a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 425.121
Subtract 41 from 80 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 9:
41 can be fit into 390 9 times, resulting in a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 425.1219
Subtracting 369 from 390 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 10:
41 goes into 210 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 425.12195
Deduct 205 from 210 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.

Step 11:
41 can be fit into 50 1 times, resulting in a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 425.121951
Subtracting 41 from 50 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 12:
If we divide 90 by 41, we get 2 and a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 425.1219512
If we subtract 82 from 90, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 13:
The number 41 fits into 80 1 times, leaving a remainder of 39.
Use 1 as the next digit of our solution. 
Result so far: 425.12195121
Deduct 41 from 80 and we're left with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

The quotient of the division is 425.12195121, and the remainder is 3.9e-08.