We look at the division of 35705725 by 419 
Let's see how many times 419 fits into 35705725.

Step 1:
If we divide 3 by 419, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Take the next digit (5) from the dividend and append it to 3, then repeat: 35 / 419

Moving on to step 2:
35 divided by 419 is 0 with a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Grab the next digit (7) from the dividend, add it to 35, then carry on: 357 / 419

On to step 3:
The number 419 fits into 357 0 times, leaving a remainder of 357.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 357 leaves us with 357.
Take the next digit (0) from the dividend and append it to 357, then repeat: 3570 / 419

Advancing to step 4:
The number 419 fits into 3570 8 times, leaving a remainder of 218.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
The remainder is 218 after subtracting 3352 from 3570.
Append the next digit (5) from the dividend to 218 and continue with: 2185 / 419

Moving on to step 5:
When dividing 2185 by 419, we get 5 with a remainder of 90.
Write down 5 as next digit of the result. 
Result so far: 85.0
Deduct 2095 from 2185 and we're left with 90.
Fetch the next digit (7) from the dividend, attach it to 90 and continue: 907 / 419

On to step 6:
If we divide 907 by 419, we get 2 and a remainder of 69.
The next digit of our result is 2. 
Result so far: 852.0
If we subtract 838 from 907, we get 69.
Include the next digit (2) from the dividend after 69, then repeat: 692 / 419

Advancing to step 7:
419 can be fit into 692 1 times, resulting in a remainder of 273.
Write down 1 as next digit of the result. 
Result so far: 8521.0
If we take 419 away from 692, we end up with 273.
Include the next digit (5) from the dividend after 273, then repeat: 2735 / 419

Step 8:
2735 divided by 419 is 6 with a remainder of 221.
Record the quotient 6 as the next digit in the result. 
Result so far: 85216.0
Subtract 2514 from 2735 to get 221.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2210, and continue the process.

Advancing to step 9:
The number 419 fits into 2210 5 times, leaving a remainder of 115.
Write down 5 as next digit of the result. 
Result so far: 85216.5
If we take 2095 away from 2210, we end up with 115.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1150, and continue the process.

Moving on to step 10:
When dividing 1150 by 419, we get 2 with a remainder of 312.
The next digit of our result is 2. 
Result so far: 85216.52
Deduct 838 from 1150 and we're left with 312.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3120, and continue the process.

Advancing to step 11:
The number 419 fits into 3120 7 times, leaving a remainder of 187.
Write down 7 as next digit of the result. 
Result so far: 85216.527
If we take 2933 away from 3120, we end up with 187.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1870, and continue the process.

On to step 12:
419 goes into 1870 4 times with a remainder of 194.
Write down 4 as next digit of the result. 
Result so far: 85216.5274
If we subtract 1676 from 1870, we get 194.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1940, and continue the process.

Advancing to step 13:
419 goes into 1940 4 times with a remainder of 264.
Record the quotient 4 as the next digit in the result. 
Result so far: 85216.52744
Subtracting 1676 from 1940 leaves us with 264.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2640, and continue the process.

The quotient of the division is 85216.52744, and the remainder is 0.000264.