71608940 ÷ 419 
The aim is to understand the frequency of 419 in 71608940.

On to step 1:
7 divided by 419 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 419

Step 2:
71 divided by 419 is 0 with a remainder of 71.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 71 after subtracting 0 from 71.
Include the next digit (6) from the dividend after 71, then repeat: 716 / 419

Advancing to step 3:
When dividing 716 by 419, we get 1 with a remainder of 297.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 419 away from 716, we end up with 297.
Take the next digit (0) from the dividend and append it to 297, then repeat: 2970 / 419

On to step 4:
419 goes into 2970 7 times with a remainder of 37.
The number 7 becomes the next digit in our result. 
Result so far: 17.0
Subtracting 2933 from 2970 leaves us with 37.
Append the next digit (8) from the dividend to 37 and continue with: 378 / 419

On to step 5:
419 goes into 378 0 times with a remainder of 378.
Record the quotient 0 as the next digit in the result. 
Result so far: 170.0
Subtract 0 from 378 to get 378.
Bring next digit (9) of the dividend behind the 378 and repeat the process: 3789 / 419

Step 6:
The number 419 fits into 3789 9 times, leaving a remainder of 18.
The next digit of our result is 9. 
Result so far: 1709.0
Deduct 3771 from 3789 and we're left with 18.
Include the next digit (4) from the dividend after 18, then repeat: 184 / 419

Advancing to step 7:
419 can be fit into 184 0 times, resulting in a remainder of 184.
The number 0 becomes the next digit in our result. 
Result so far: 17090.0
If we subtract 0 from 184, we get 184.
Take the next digit (0) from the dividend and append it to 184, then repeat: 1840 / 419

On to step 8:
419 goes into 1840 4 times with a remainder of 164.
Put 4 as the next digit of the answer. 
Result so far: 170904.0
Deduct 1676 from 1840 and we're left with 164.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1640, and continue the process.

On to step 9:
419 goes into 1640 3 times with a remainder of 383.
Record the quotient 3 as the next digit in the result. 
Result so far: 170904.3
Subtract 1257 from 1640 to get 383.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3830, and continue the process.

Advancing to step 10:
419 goes into 3830 9 times with a remainder of 59.
Record the quotient 9 as the next digit in the result. 
Result so far: 170904.39
Subtract 3771 from 3830 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 11:
The number 419 fits into 590 1 times, leaving a remainder of 171.
The next digit of our result is 1. 
Result so far: 170904.391
If we take 419 away from 590, we end up with 171.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1710, and continue the process.

Moving on to step 12:
If we divide 1710 by 419, we get 4 and a remainder of 34.
The number 4 becomes the next digit in our result. 
Result so far: 170904.3914
Deduct 1676 from 1710 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 13:
If we divide 340 by 419, we get 0 and a remainder of 340.
Write down 0 as next digit of the result. 
Result so far: 170904.3914
Subtracting 0 from 340 leaves us with 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3400, and continue the process.

Advancing to step 14:
If we divide 3400 by 419, we get 8 and a remainder of 48.
Use 8 as the next digit of our solution. 
Result so far: 170904.391408
Deduct 3352 from 3400 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 15:
The number 419 fits into 480 1 times, leaving a remainder of 61.
Write down 1 as next digit of the result. 
Result so far: 170904.3914081
Deduct 419 from 480 and we're left with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Step 16:
If we divide 610 by 419, we get 1 and a remainder of 191.
Put 1 as the next digit of the answer. 
Result so far: 170904.39140811
Subtract 419 from 610 to get 191.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1910, and continue the process.

The final result is 170904.39140811 with a remainder of 1.91e-07.