We look at the division of 35410906 by 781 
We're looking to find how many times 781 goes into 35410906.

Moving on to step 1:
If we divide 3 by 781, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 781

Going ahead to step 2:
781 can be fit into 35 0 times, resulting in a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Bring next digit (4) of the dividend behind the 35 and repeat the process: 354 / 781

Going ahead to step 3:
781 goes into 354 0 times with a remainder of 354.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 354, we end up with 354.
Include the next digit (1) from the dividend after 354, then repeat: 3541 / 781

Step 4:
If we divide 3541 by 781, we get 4 and a remainder of 417.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 417 after subtracting 3124 from 3541.
Bring next digit (0) of the dividend behind the 417 and repeat the process: 4170 / 781

Let's proceed to step 5:
4170 divided by 781 is 5 with a remainder of 265.
Use 5 as the next digit of our solution. 
Result so far: 45.0
Deduct 3905 from 4170 and we're left with 265.
Append the next digit (9) from the dividend to 265 and continue with: 2659 / 781

Let's proceed to step 6:
The number 781 fits into 2659 3 times, leaving a remainder of 316.
Use 3 as the next digit of our solution. 
Result so far: 453.0
Subtract 2343 from 2659 to get 316.
Take the next digit (0) from the dividend and append it to 316, then repeat: 3160 / 781

Going ahead to step 7:
3160 divided by 781 is 4 with a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 4534.0
The remainder is 36 after subtracting 3124 from 3160.
Fetch the next digit (6) from the dividend, attach it to 36 and continue: 366 / 781

Let's proceed to step 8:
366 divided by 781 is 0 with a remainder of 366.
Put 0 as the next digit of the answer. 
Result so far: 45340.0
The remainder is 366 after subtracting 0 from 366.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3660, and continue the process.

Advancing to step 9:
3660 divided by 781 is 4 with a remainder of 536.
Write down 4 as next digit of the result. 
Result so far: 45340.4
Deduct 3124 from 3660 and we're left with 536.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5360, and continue the process.

Let's proceed to step 10:
781 goes into 5360 6 times with a remainder of 674.
Put 6 as the next digit of the answer. 
Result so far: 45340.46
Deduct 4686 from 5360 and we're left with 674.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6740, and continue the process.

Moving on to step 11:
The number 781 fits into 6740 8 times, leaving a remainder of 492.
Use 8 as the next digit of our solution. 
Result so far: 45340.468
The remainder is 492 after subtracting 6248 from 6740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4920, and continue the process.

Advancing to step 12:
781 goes into 4920 6 times with a remainder of 234.
Write down 6 as next digit of the result. 
Result so far: 45340.4686
If we subtract 4686 from 4920, we get 234.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2340, and continue the process.

On to step 13:
781 can be fit into 2340 2 times, resulting in a remainder of 778.
Put 2 as the next digit of the answer. 
Result so far: 45340.46862
The remainder is 778 after subtracting 1562 from 2340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7780, and continue the process.

Going ahead to step 14:
If we divide 7780 by 781, we get 9 and a remainder of 751.
Write down 9 as next digit of the result. 
Result so far: 45340.468629
If we subtract 7029 from 7780, we get 751.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7510, and continue the process.

Going ahead to step 15:
781 can be fit into 7510 9 times, resulting in a remainder of 481.
Record the quotient 9 as the next digit in the result. 
Result so far: 45340.4686299
Subtract 7029 from 7510 to get 481.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4810, and continue the process.

The final result is 45340.4686299 with a remainder of 4.81e-06.