We're dividing 169971 by 41 
We want to divide 169971 by 41.

Let's proceed to step 1:
The number 41 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 41

Moving on to step 2:
16 divided by 41 is 0 with a remainder of 16.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 16, we get 16.
Append the next digit (9) from the dividend to 16 and continue with: 169 / 41

On to step 3:
When dividing 169 by 41, we get 4 with a remainder of 5.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
Subtracting 164 from 169 leaves us with 5.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 41

Going ahead to step 4:
The number 41 fits into 59 1 times, leaving a remainder of 18.
Record the quotient 1 as the next digit in the result. 
Result so far: 41.0
Subtracting 41 from 59 leaves us with 18.
Grab the next digit (7) from the dividend, add it to 18, then carry on: 187 / 41

Going ahead to step 5:
41 goes into 187 4 times with a remainder of 23.
Use 4 as the next digit of our solution. 
Result so far: 414.0
If we subtract 164 from 187, we get 23.
Append the next digit (1) from the dividend to 23 and continue with: 231 / 41

Step 6:
The number 41 fits into 231 5 times, leaving a remainder of 26.
Write down 5 as next digit of the result. 
Result so far: 4145.0
Subtract 205 from 231 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 7:
260 divided by 41 is 6 with a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 4145.6
Subtract 246 from 260 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 8:
41 goes into 140 3 times with a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 4145.63
The remainder is 17 after subtracting 123 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 9:
41 goes into 170 4 times with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 4145.634
Subtract 164 from 170 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 10:
41 can be fit into 60 1 times, resulting in a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 4145.6341
If we subtract 41 from 60, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 11:
190 divided by 41 is 4 with a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 4145.63414
Deduct 164 from 190 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 12:
41 goes into 260 6 times with a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 4145.634146
Subtracting 246 from 260 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 13:
41 can be fit into 140 3 times, resulting in a remainder of 17.
Put 3 as the next digit of the answer. 
Result so far: 4145.6341463
The remainder is 17 after subtracting 123 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 14:
The number 41 fits into 170 4 times, leaving a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 4145.63414634
Subtracting 164 from 170 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 4145.63414634 with a balance of 6e-09.