We're dividing 31597877 by 741 
The aim is to understand the frequency of 741 in 31597877.

Let's proceed to step 1:
3 divided by 741 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 741

Going ahead to step 2:
If we divide 31 by 741, we get 0 and a remainder of 31.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 31 to get 31.
Grab the next digit (5) from the dividend, add it to 31, then carry on: 315 / 741

Advancing to step 3:
The number 741 fits into 315 0 times, leaving a remainder of 315.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 315, we end up with 315.
Bring next digit (9) of the dividend behind the 315 and repeat the process: 3159 / 741

Going ahead to step 4:
When dividing 3159 by 741, we get 4 with a remainder of 195.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 2964 away from 3159, we end up with 195.
Fetch the next digit (7) from the dividend, attach it to 195 and continue: 1957 / 741

Going ahead to step 5:
The number 741 fits into 1957 2 times, leaving a remainder of 475.
Use 2 as the next digit of our solution. 
Result so far: 42.0
Subtract 1482 from 1957 to get 475.
Include the next digit (8) from the dividend after 475, then repeat: 4758 / 741

Step 6:
The number 741 fits into 4758 6 times, leaving a remainder of 312.
The number 6 becomes the next digit in our result. 
Result so far: 426.0
If we take 4446 away from 4758, we end up with 312.
Bring next digit (7) of the dividend behind the 312 and repeat the process: 3127 / 741

On to step 7:
741 goes into 3127 4 times with a remainder of 163.
The next digit of our result is 4. 
Result so far: 4264.0
Subtract 2964 from 3127 to get 163.
Include the next digit (7) from the dividend after 163, then repeat: 1637 / 741

Moving on to step 8:
If we divide 1637 by 741, we get 2 and a remainder of 155.
The number 2 becomes the next digit in our result. 
Result so far: 42642.0
If we subtract 1482 from 1637, we get 155.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1550, and continue the process.

Moving on to step 9:
741 goes into 1550 2 times with a remainder of 68.
Use 2 as the next digit of our solution. 
Result so far: 42642.2
Subtracting 1482 from 1550 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 10:
741 can be fit into 680 0 times, resulting in a remainder of 680.
Use 0 as the next digit of our solution. 
Result so far: 42642.2
If we take 0 away from 680, we end up with 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6800, and continue the process.

On to step 11:
6800 divided by 741 is 9 with a remainder of 131.
Use 9 as the next digit of our solution. 
Result so far: 42642.209
If we take 6669 away from 6800, we end up with 131.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1310, and continue the process.

Moving on to step 12:
741 goes into 1310 1 times with a remainder of 569.
Write down 1 as next digit of the result. 
Result so far: 42642.2091
If we subtract 741 from 1310, we get 569.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5690, and continue the process.

Moving on to step 13:
If we divide 5690 by 741, we get 7 and a remainder of 503.
Record the quotient 7 as the next digit in the result. 
Result so far: 42642.20917
If we subtract 5187 from 5690, we get 503.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5030, and continue the process.

Advancing to step 14:
The number 741 fits into 5030 6 times, leaving a remainder of 584.
Record the quotient 6 as the next digit in the result. 
Result so far: 42642.209176
Subtract 4446 from 5030 to get 584.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5840, and continue the process.

Moving on to step 15:
741 can be fit into 5840 7 times, resulting in a remainder of 653.
The number 7 becomes the next digit in our result. 
Result so far: 42642.2091767
Subtracting 5187 from 5840 leaves us with 653.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6530, and continue the process.

Let's proceed to step 16:
741 can be fit into 6530 8 times, resulting in a remainder of 602.
The next digit of our result is 8. 
Result so far: 42642.20917678
Deduct 5928 from 6530 and we're left with 602.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6020, and continue the process.

After the division, we end up with 42642.20917678 and a remainder of 6.02e-07.