35005421 ÷ 767 
Our goal is to divide 35005421 by 767.

Let's proceed to step 1:
3 divided by 767 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 767

On to step 2:
When dividing 35 by 767, we get 0 with a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Append the next digit (0) from the dividend to 35 and continue with: 350 / 767

Let's proceed to step 3:
767 goes into 350 0 times with a remainder of 350.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 350 leaves us with 350.
Append the next digit (0) from the dividend to 350 and continue with: 3500 / 767

Advancing to step 4:
767 goes into 3500 4 times with a remainder of 432.
The next digit of our result is 4. 
Result so far: 4.0
The remainder is 432 after subtracting 3068 from 3500.
Append the next digit (5) from the dividend to 432 and continue with: 4325 / 767

Advancing to step 5:
767 goes into 4325 5 times with a remainder of 490.
Use 5 as the next digit of our solution. 
Result so far: 45.0
If we take 3835 away from 4325, we end up with 490.
Bring next digit (4) of the dividend behind the 490 and repeat the process: 4904 / 767

Let's proceed to step 6:
4904 divided by 767 is 6 with a remainder of 302.
Put 6 as the next digit of the answer. 
Result so far: 456.0
If we subtract 4602 from 4904, we get 302.
Take the next digit (2) from the dividend and append it to 302, then repeat: 3022 / 767

Step 7:
767 goes into 3022 3 times with a remainder of 721.
Put 3 as the next digit of the answer. 
Result so far: 4563.0
The remainder is 721 after subtracting 2301 from 3022.
Bring next digit (1) of the dividend behind the 721 and repeat the process: 7211 / 767

Advancing to step 8:
When dividing 7211 by 767, we get 9 with a remainder of 308.
Use 9 as the next digit of our solution. 
Result so far: 45639.0
Deduct 6903 from 7211 and we're left with 308.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3080, and continue the process.

Going ahead to step 9:
When dividing 3080 by 767, we get 4 with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 45639.4
The remainder is 12 after subtracting 3068 from 3080.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 10:
767 goes into 120 0 times with a remainder of 120.
Use 0 as the next digit of our solution. 
Result so far: 45639.4
Deduct 0 from 120 and we're left with 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

Let's proceed to step 11:
The number 767 fits into 1200 1 times, leaving a remainder of 433.
Use 1 as the next digit of our solution. 
Result so far: 45639.401
Subtract 767 from 1200 to get 433.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4330, and continue the process.

On to step 12:
4330 divided by 767 is 5 with a remainder of 495.
The next digit of our result is 5. 
Result so far: 45639.4015
The remainder is 495 after subtracting 3835 from 4330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4950, and continue the process.

Moving on to step 13:
767 can be fit into 4950 6 times, resulting in a remainder of 348.
Use 6 as the next digit of our solution. 
Result so far: 45639.40156
Deduct 4602 from 4950 and we're left with 348.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3480, and continue the process.

Going ahead to step 14:
3480 divided by 767 is 4 with a remainder of 412.
Put 4 as the next digit of the answer. 
Result so far: 45639.401564
If we subtract 3068 from 3480, we get 412.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4120, and continue the process.

Advancing to step 15:
4120 divided by 767 is 5 with a remainder of 285.
Write down 5 as next digit of the result. 
Result so far: 45639.4015645
If we subtract 3835 from 4120, we get 285.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2850, and continue the process.

Let's proceed to step 16:
2850 divided by 767 is 3 with a remainder of 549.
Record the quotient 3 as the next digit in the result. 
Result so far: 45639.40156453
Subtracting 2301 from 2850 leaves us with 549.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5490, and continue the process.

The quotient of the division is 45639.40156453, and the remainder is 5.49e-07.