We're dividing 41164221 by 974 
We want to figure out the number of times 41164221 can be divided by 974.

Let's proceed to step 1:
The number 974 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 974

Moving on to step 2:
When dividing 41 by 974, we get 0 with a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 41 leaves us with 41.
Take the next digit (1) from the dividend and append it to 41, then repeat: 411 / 974

Moving on to step 3:
When dividing 411 by 974, we get 0 with a remainder of 411.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 411, we end up with 411.
Append the next digit (6) from the dividend to 411 and continue with: 4116 / 974

Step 4:
When dividing 4116 by 974, we get 4 with a remainder of 220.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Deduct 3896 from 4116 and we're left with 220.
Include the next digit (4) from the dividend after 220, then repeat: 2204 / 974

Let's proceed to step 5:
974 can be fit into 2204 2 times, resulting in a remainder of 256.
Use 2 as the next digit of our solution. 
Result so far: 42.0
The remainder is 256 after subtracting 1948 from 2204.
Include the next digit (2) from the dividend after 256, then repeat: 2562 / 974

On to step 6:
2562 divided by 974 is 2 with a remainder of 614.
Put 2 as the next digit of the answer. 
Result so far: 422.0
Deduct 1948 from 2562 and we're left with 614.
Grab the next digit (2) from the dividend, add it to 614, then carry on: 6142 / 974

On to step 7:
When dividing 6142 by 974, we get 6 with a remainder of 298.
Use 6 as the next digit of our solution. 
Result so far: 4226.0
If we take 5844 away from 6142, we end up with 298.
Include the next digit (1) from the dividend after 298, then repeat: 2981 / 974

Step 8:
2981 divided by 974 is 3 with a remainder of 59.
Use 3 as the next digit of our solution. 
Result so far: 42263.0
If we subtract 2922 from 2981, we 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.

Advancing to step 9:
974 goes into 590 0 times with a remainder of 590.
Use 0 as the next digit of our solution. 
Result so far: 42263.0
The remainder is 590 after subtracting 0 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5900, and continue the process.

Advancing to step 10:
When dividing 5900 by 974, we get 6 with a remainder of 56.
Record the quotient 6 as the next digit in the result. 
Result so far: 42263.06
If we subtract 5844 from 5900, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 11:
560 divided by 974 is 0 with a remainder of 560.
Use 0 as the next digit of our solution. 
Result so far: 42263.06
The remainder is 560 after subtracting 0 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5600, and continue the process.

Moving on to step 12:
When dividing 5600 by 974, we get 5 with a remainder of 730.
Write down 5 as next digit of the result. 
Result so far: 42263.0605
Deduct 4870 from 5600 and we're left with 730.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7300, and continue the process.

Moving on to step 13:
The number 974 fits into 7300 7 times, leaving a remainder of 482.
Use 7 as the next digit of our solution. 
Result so far: 42263.06057
Subtracting 6818 from 7300 leaves us with 482.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4820, and continue the process.

Advancing to step 14:
The number 974 fits into 4820 4 times, leaving a remainder of 924.
Write down 4 as next digit of the result. 
Result so far: 42263.060574
The remainder is 924 after subtracting 3896 from 4820.
Since there are no more digits in the dividend, we add a zero to the remainder making it 9240, and continue the process.

Advancing to step 15:
If we divide 9240 by 974, we get 9 and a remainder of 474.
The number 9 becomes the next digit in our result. 
Result so far: 42263.0605749
Subtract 8766 from 9240 to get 474.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4740, and continue the process.

Let's proceed to step 16:
974 goes into 4740 4 times with a remainder of 844.
The next digit of our result is 4. 
Result so far: 42263.06057494
Subtracting 3896 from 4740 leaves us with 844.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8440, and continue the process.

The final outcome is 42263.06057494, with a leftover of 8.44e-07.