We're dividing 41122061 by 971 
Our goal is to divide 41122061 by 971.

Advancing to step 1:
If we divide 4 by 971, we get 0 and a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 971

Advancing to step 2:
971 can be fit into 41 0 times, resulting in a remainder of 41.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 41 after subtracting 0 from 41.
Append the next digit (1) from the dividend to 41 and continue with: 411 / 971

On to step 3:
411 divided by 971 is 0 with a remainder of 411.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 411 to get 411.
Take the next digit (2) from the dividend and append it to 411, then repeat: 4112 / 971

Let's proceed to step 4:
When dividing 4112 by 971, we get 4 with a remainder of 228.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtract 3884 from 4112 to get 228.
Append the next digit (2) from the dividend to 228 and continue with: 2282 / 971

Going ahead to step 5:
When dividing 2282 by 971, we get 2 with a remainder of 340.
Write down 2 as next digit of the result. 
Result so far: 42.0
Deduct 1942 from 2282 and we're left with 340.
Include the next digit (0) from the dividend after 340, then repeat: 3400 / 971

Going ahead to step 6:
If we divide 3400 by 971, we get 3 and a remainder of 487.
The next digit of our result is 3. 
Result so far: 423.0
If we subtract 2913 from 3400, we get 487.
Take the next digit (6) from the dividend and append it to 487, then repeat: 4876 / 971

Moving on to step 7:
971 goes into 4876 5 times with a remainder of 21.
Write down 5 as next digit of the result. 
Result so far: 4235.0
If we subtract 4855 from 4876, we get 21.
Grab the next digit (1) from the dividend, add it to 21, then carry on: 211 / 971

On to step 8:
971 goes into 211 0 times with a remainder of 211.
Put 0 as the next digit of the answer. 
Result so far: 42350.0
The remainder is 211 after subtracting 0 from 211.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2110, and continue the process.

Moving on to step 9:
The number 971 fits into 2110 2 times, leaving a remainder of 168.
Write down 2 as next digit of the result. 
Result so far: 42350.2
If we subtract 1942 from 2110, we get 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

Let's proceed to step 10:
The number 971 fits into 1680 1 times, leaving a remainder of 709.
The next digit of our result is 1. 
Result so far: 42350.21
Deduct 971 from 1680 and we're left with 709.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7090, and continue the process.

Going ahead to step 11:
971 goes into 7090 7 times with a remainder of 293.
Put 7 as the next digit of the answer. 
Result so far: 42350.217
Deduct 6797 from 7090 and we're left with 293.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2930, and continue the process.

Going ahead to step 12:
If we divide 2930 by 971, we get 3 and a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 42350.2173
If we take 2913 away from 2930, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 13:
If we divide 170 by 971, we get 0 and a remainder of 170.
Use 0 as the next digit of our solution. 
Result so far: 42350.2173
Subtract 0 from 170 to get 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1700, and continue the process.

Moving on to step 14:
When dividing 1700 by 971, we get 1 with a remainder of 729.
The number 1 becomes the next digit in our result. 
Result so far: 42350.217301
Subtract 971 from 1700 to get 729.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7290, and continue the process.

Advancing to step 15:
971 can be fit into 7290 7 times, resulting in a remainder of 493.
Write down 7 as next digit of the result. 
Result so far: 42350.2173017
Subtracting 6797 from 7290 leaves us with 493.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4930, and continue the process.

Let's proceed to step 16:
971 can be fit into 4930 5 times, resulting in a remainder of 75.
Put 5 as the next digit of the answer. 
Result so far: 42350.21730175
If we subtract 4855 from 4930, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

In conclusion, the division gives 42350.21730175 with a balance of 7.5e-08.