We're dividing 41106748 by 661 
Our goal is to divide 41106748 by 661.

Let's proceed to step 1:
The number 661 fits into 4 0 times, leaving a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 661

On to step 2:
The number 661 fits into 41 0 times, leaving a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 41, we end up with 41.
Include the next digit (1) from the dividend after 41, then repeat: 411 / 661

Step 3:
The number 661 fits into 411 0 times, leaving a remainder of 411.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 411 leaves us with 411.
Grab the next digit (0) from the dividend, add it to 411, then carry on: 4110 / 661

Moving on to step 4:
If we divide 4110 by 661, we get 6 and a remainder of 144.
Write down 6 as next digit of the result. 
Result so far: 6.0
If we take 3966 away from 4110, we end up with 144.
Take the next digit (6) from the dividend and append it to 144, then repeat: 1446 / 661

Going ahead to step 5:
661 can be fit into 1446 2 times, resulting in a remainder of 124.
The number 2 becomes the next digit in our result. 
Result so far: 62.0
The remainder is 124 after subtracting 1322 from 1446.
Append the next digit (7) from the dividend to 124 and continue with: 1247 / 661

On to step 6:
661 can be fit into 1247 1 times, resulting in a remainder of 586.
Put 1 as the next digit of the answer. 
Result so far: 621.0
If we take 661 away from 1247, we end up with 586.
Fetch the next digit (4) from the dividend, attach it to 586 and continue: 5864 / 661

Step 7:
661 can be fit into 5864 8 times, resulting in a remainder of 576.
The number 8 becomes the next digit in our result. 
Result so far: 6218.0
If we take 5288 away from 5864, we end up with 576.
Include the next digit (8) from the dividend after 576, then repeat: 5768 / 661

Step 8:
When dividing 5768 by 661, we get 8 with a remainder of 480.
Record the quotient 8 as the next digit in the result. 
Result so far: 62188.0
Subtract 5288 from 5768 to 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.

Moving on to step 9:
If we divide 4800 by 661, we get 7 and a remainder of 173.
The next digit of our result is 7. 
Result so far: 62188.7
If we take 4627 away from 4800, we end up with 173.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1730, and continue the process.

Going ahead to step 10:
If we divide 1730 by 661, we get 2 and a remainder of 408.
The number 2 becomes the next digit in our result. 
Result so far: 62188.72
Deduct 1322 from 1730 and we're left with 408.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4080, and continue the process.

Moving on to step 11:
661 goes into 4080 6 times with a remainder of 114.
Write down 6 as next digit of the result. 
Result so far: 62188.726
Deduct 3966 from 4080 and we're left with 114.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1140, and continue the process.

Advancing to step 12:
1140 divided by 661 is 1 with a remainder of 479.
The number 1 becomes the next digit in our result. 
Result so far: 62188.7261
Subtracting 661 from 1140 leaves us with 479.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4790, and continue the process.

Advancing to step 13:
When dividing 4790 by 661, we get 7 with a remainder of 163.
Use 7 as the next digit of our solution. 
Result so far: 62188.72617
If we subtract 4627 from 4790, we get 163.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1630, and continue the process.

Advancing to step 14:
If we divide 1630 by 661, we get 2 and a remainder of 308.
Record the quotient 2 as the next digit in the result. 
Result so far: 62188.726172
Deduct 1322 from 1630 and we're left with 308.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3080, and continue the process.

On to step 15:
661 can be fit into 3080 4 times, resulting in a remainder of 436.
Use 4 as the next digit of our solution. 
Result so far: 62188.7261724
Subtracting 2644 from 3080 leaves us with 436.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4360, and continue the process.

Advancing to step 16:
4360 divided by 661 is 6 with a remainder of 394.
The next digit of our result is 6. 
Result so far: 62188.72617246
The remainder is 394 after subtracting 3966 from 4360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3940, and continue the process.

In conclusion, the division gives 62188.72617246 with a balance of 3.94e-07.