23177541 ÷ 840 
The aim is to understand the frequency of 840 in 23177541.

Going ahead to step 1:
When dividing 2 by 840, we get 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 840

Going ahead to step 2:
840 goes into 23 0 times with a remainder of 23.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 23, we end up with 23.
Bring next digit (1) of the dividend behind the 23 and repeat the process: 231 / 840

Advancing to step 3:
If we divide 231 by 840, we get 0 and a remainder of 231.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 231, we end up with 231.
Bring next digit (7) of the dividend behind the 231 and repeat the process: 2317 / 840

On to step 4:
When dividing 2317 by 840, we get 2 with a remainder of 637.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 1680 from 2317 and we're left with 637.
Bring next digit (7) of the dividend behind the 637 and repeat the process: 6377 / 840

Moving on to step 5:
If we divide 6377 by 840, we get 7 and a remainder of 497.
The number 7 becomes the next digit in our result. 
Result so far: 27.0
Deduct 5880 from 6377 and we're left with 497.
Grab the next digit (5) from the dividend, add it to 497, then carry on: 4975 / 840

Advancing to step 6:
If we divide 4975 by 840, we get 5 and a remainder of 775.
Record the quotient 5 as the next digit in the result. 
Result so far: 275.0
Subtract 4200 from 4975 to get 775.
Fetch the next digit (4) from the dividend, attach it to 775 and continue: 7754 / 840

Advancing to step 7:
When dividing 7754 by 840, we get 9 with a remainder of 194.
The number 9 becomes the next digit in our result. 
Result so far: 2759.0
Deduct 7560 from 7754 and we're left with 194.
Include the next digit (1) from the dividend after 194, then repeat: 1941 / 840

Moving on to step 8:
When dividing 1941 by 840, we get 2 with a remainder of 261.
The number 2 becomes the next digit in our result. 
Result so far: 27592.0
If we take 1680 away from 1941, we end up with 261.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2610, and continue the process.

Step 9:
2610 divided by 840 is 3 with a remainder of 90.
The number 3 becomes the next digit in our result. 
Result so far: 27592.3
The remainder is 90 after subtracting 2520 from 2610.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Step 10:
If we divide 900 by 840, we get 1 and a remainder of 60.
Write down 1 as next digit of the result. 
Result so far: 27592.31
Subtracting 840 from 900 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 11:
840 goes into 600 0 times with a remainder of 600.
The next digit of our result is 0. 
Result so far: 27592.31
If we subtract 0 from 600, we get 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6000, and continue the process.

Let's proceed to step 12:
840 goes into 6000 7 times with a remainder of 120.
Use 7 as the next digit of our solution. 
Result so far: 27592.3107
If we subtract 5880 from 6000, we get 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

Moving on to step 13:
1200 divided by 840 is 1 with a remainder of 360.
Record the quotient 1 as the next digit in the result. 
Result so far: 27592.31071
Deduct 840 from 1200 and we're left with 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3600, and continue the process.

Advancing to step 14:
3600 divided by 840 is 4 with a remainder of 240.
The next digit of our result is 4. 
Result so far: 27592.310714
Subtract 3360 from 3600 to get 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2400, and continue the process.

Advancing to step 15:
840 can be fit into 2400 2 times, resulting in a remainder of 720.
The next digit of our result is 2. 
Result so far: 27592.3107142
Subtracting 1680 from 2400 leaves us with 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7200, and continue the process.

Step 16:
840 can be fit into 7200 8 times, resulting in a remainder of 480.
The number 8 becomes the next digit in our result. 
Result so far: 27592.31071428
If we subtract 6720 from 7200, we get 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4800, and continue the process.

In conclusion, the division gives 27592.31071428 with a balance of 4.8e-07.