We're dividing 71077944 by 586 
The aim is to understand the frequency of 586 in 71077944.

Step 1:
When dividing 7 by 586, we get 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.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 586

Advancing to step 2:
If we divide 71 by 586, we get 0 and a remainder of 71.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 71 to get 71.
Fetch the next digit (0) from the dividend, attach it to 71 and continue: 710 / 586

Moving on to step 3:
If we divide 710 by 586, we get 1 and a remainder of 124.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 586 from 710, we get 124.
Grab the next digit (7) from the dividend, add it to 124, then carry on: 1247 / 586

Advancing to step 4:
The number 586 fits into 1247 2 times, leaving a remainder of 75.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we subtract 1172 from 1247, we get 75.
Include the next digit (7) from the dividend after 75, then repeat: 757 / 586

On to step 5:
586 can be fit into 757 1 times, resulting in a remainder of 171.
The number 1 becomes the next digit in our result. 
Result so far: 121.0
If we take 586 away from 757, we end up with 171.
Grab the next digit (9) from the dividend, add it to 171, then carry on: 1719 / 586

Advancing to step 6:
586 can be fit into 1719 2 times, resulting in a remainder of 547.
The number 2 becomes the next digit in our result. 
Result so far: 1212.0
If we subtract 1172 from 1719, we get 547.
Bring next digit (4) of the dividend behind the 547 and repeat the process: 5474 / 586

Let's proceed to step 7:
The number 586 fits into 5474 9 times, leaving a remainder of 200.
The next digit of our result is 9. 
Result so far: 12129.0
The remainder is 200 after subtracting 5274 from 5474.
Bring next digit (4) of the dividend behind the 200 and repeat the process: 2004 / 586

Advancing to step 8:
586 goes into 2004 3 times with a remainder of 246.
Put 3 as the next digit of the answer. 
Result so far: 121293.0
Deduct 1758 from 2004 and we're left with 246.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2460, and continue the process.

On to step 9:
586 goes into 2460 4 times with a remainder of 116.
Record the quotient 4 as the next digit in the result. 
Result so far: 121293.4
Deduct 2344 from 2460 and we're left with 116.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1160, and continue the process.

Advancing to step 10:
When dividing 1160 by 586, we get 1 with a remainder of 574.
Use 1 as the next digit of our solution. 
Result so far: 121293.41
Deduct 586 from 1160 and we're left with 574.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5740, and continue the process.

Let's proceed to step 11:
When dividing 5740 by 586, we get 9 with a remainder of 466.
Record the quotient 9 as the next digit in the result. 
Result so far: 121293.419
Deduct 5274 from 5740 and we're left with 466.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4660, and continue the process.

Moving on to step 12:
When dividing 4660 by 586, we get 7 with a remainder of 558.
Record the quotient 7 as the next digit in the result. 
Result so far: 121293.4197
If we subtract 4102 from 4660, we get 558.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5580, and continue the process.

Going ahead to step 13:
If we divide 5580 by 586, we get 9 and a remainder of 306.
Record the quotient 9 as the next digit in the result. 
Result so far: 121293.41979
The remainder is 306 after subtracting 5274 from 5580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3060, and continue the process.

Let's proceed to step 14:
When dividing 3060 by 586, we get 5 with a remainder of 130.
Use 5 as the next digit of our solution. 
Result so far: 121293.419795
Subtract 2930 from 3060 to get 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1300, and continue the process.

Let's proceed to step 15:
1300 divided by 586 is 2 with a remainder of 128.
Write down 2 as next digit of the result. 
Result so far: 121293.4197952
The remainder is 128 after subtracting 1172 from 1300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

Advancing to step 16:
When dividing 1280 by 586, we get 2 with a remainder of 108.
Put 2 as the next digit of the answer. 
Result so far: 121293.41979522
The remainder is 108 after subtracting 1172 from 1280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1080, and continue the process.

Our division results in 121293.41979522 with a remaining 1.08e-07.