21029097 ÷ 181 
We're looking to find how many times 181 goes into 21029097.

Going ahead to step 1:
181 can be fit into 2 0 times, resulting in a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 181

Advancing to step 2:
If we divide 21 by 181, we get 0 and a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 21 to get 21.
Fetch the next digit (0) from the dividend, attach it to 21 and continue: 210 / 181

On to step 3:
If we divide 210 by 181, we get 1 and a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 181 from 210 leaves us with 29.
Bring next digit (2) of the dividend behind the 29 and repeat the process: 292 / 181

Advancing to step 4:
The number 181 fits into 292 1 times, leaving a remainder of 111.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we subtract 181 from 292, we get 111.
Append the next digit (9) from the dividend to 111 and continue with: 1119 / 181

Moving on to step 5:
181 goes into 1119 6 times with a remainder of 33.
The next digit of our result is 6. 
Result so far: 116.0
Deduct 1086 from 1119 and we're left with 33.
Take the next digit (0) from the dividend and append it to 33, then repeat: 330 / 181

Step 6:
181 goes into 330 1 times with a remainder of 149.
The number 1 becomes the next digit in our result. 
Result so far: 1161.0
If we subtract 181 from 330, we get 149.
Include the next digit (9) from the dividend after 149, then repeat: 1499 / 181

Step 7:
181 can be fit into 1499 8 times, resulting in a remainder of 51.
The next digit of our result is 8. 
Result so far: 11618.0
Subtract 1448 from 1499 to get 51.
Fetch the next digit (7) from the dividend, attach it to 51 and continue: 517 / 181

Going ahead to step 8:
517 divided by 181 is 2 with a remainder of 155.
Put 2 as the next digit of the answer. 
Result so far: 116182.0
Subtract 362 from 517 to 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:
181 goes into 1550 8 times with a remainder of 102.
Use 8 as the next digit of our solution. 
Result so far: 116182.8
The remainder is 102 after subtracting 1448 from 1550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1020, and continue the process.

Let's proceed to step 10:
When dividing 1020 by 181, we get 5 with a remainder of 115.
The number 5 becomes the next digit in our result. 
Result so far: 116182.85
If we take 905 away from 1020, 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.

On to step 11:
1150 divided by 181 is 6 with a remainder of 64.
Write down 6 as next digit of the result. 
Result so far: 116182.856
Deduct 1086 from 1150 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 12:
181 can be fit into 640 3 times, resulting in a remainder of 97.
The number 3 becomes the next digit in our result. 
Result so far: 116182.8563
If we subtract 543 from 640, we get 97.
Since there are no more digits in the dividend, we add a zero to the remainder making it 970, and continue the process.

Moving on to step 13:
The number 181 fits into 970 5 times, leaving a remainder of 65.
Use 5 as the next digit of our solution. 
Result so far: 116182.85635
If we subtract 905 from 970, we get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

On to step 14:
181 goes into 650 3 times with a remainder of 107.
Record the quotient 3 as the next digit in the result. 
Result so far: 116182.856353
If we subtract 543 from 650, we get 107.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1070, and continue the process.

Moving on to step 15:
181 can be fit into 1070 5 times, resulting in a remainder of 165.
The next digit of our result is 5. 
Result so far: 116182.8563535
If we take 905 away from 1070, we end up with 165.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1650, and continue the process.

Moving on to step 16:
181 goes into 1650 9 times with a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 116182.85635359
If we take 1629 away from 1650, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The final result is 116182.85635359 with a remainder of 2.1e-08.