4105998 ÷ 127 
We want to figure out the number of times 4105998 can be divided by 127.

Going ahead to step 1:
The number 127 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 127

Let's proceed to step 2:
41 divided by 127 is 0 with a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 41 to get 41.
Take the next digit (0) from the dividend and append it to 41, then repeat: 410 / 127

Advancing to step 3:
If we divide 410 by 127, we get 3 and a remainder of 29.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 381 from 410 and we're left with 29.
Bring next digit (5) of the dividend behind the 29 and repeat the process: 295 / 127

Advancing to step 4:
If we divide 295 by 127, we get 2 and a remainder of 41.
Write down 2 as next digit of the result. 
Result so far: 32.0
Subtract 254 from 295 to get 41.
Include the next digit (9) from the dividend after 41, then repeat: 419 / 127

Let's proceed to step 5:
419 divided by 127 is 3 with a remainder of 38.
Put 3 as the next digit of the answer. 
Result so far: 323.0
Subtracting 381 from 419 leaves us with 38.
Bring next digit (9) of the dividend behind the 38 and repeat the process: 389 / 127

On to step 6:
127 goes into 389 3 times with a remainder of 8.
Write down 3 as next digit of the result. 
Result so far: 3233.0
If we take 381 away from 389, we end up with 8.
Append the next digit (8) from the dividend to 8 and continue with: 88 / 127

Going ahead to step 7:
The number 127 fits into 88 0 times, leaving a remainder of 88.
Record the quotient 0 as the next digit in the result. 
Result so far: 32330.0
If we take 0 away from 88, we end up with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Step 8:
127 can be fit into 880 6 times, resulting in a remainder of 118.
Put 6 as the next digit of the answer. 
Result so far: 32330.6
Subtracting 762 from 880 leaves us with 118.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1180, and continue the process.

Advancing to step 9:
If we divide 1180 by 127, we get 9 and a remainder of 37.
Record the quotient 9 as the next digit in the result. 
Result so far: 32330.69
Deduct 1143 from 1180 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 10:
370 divided by 127 is 2 with a remainder of 116.
Record the quotient 2 as the next digit in the result. 
Result so far: 32330.692
Subtracting 254 from 370 leaves us with 116.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1160, and continue the process.

Step 11:
127 can be fit into 1160 9 times, resulting in a remainder of 17.
The number 9 becomes the next digit in our result. 
Result so far: 32330.6929
The remainder is 17 after subtracting 1143 from 1160.
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 12:
If we divide 170 by 127, we get 1 and a remainder of 43.
Use 1 as the next digit of our solution. 
Result so far: 32330.69291
The remainder is 43 after subtracting 127 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Moving on to step 13:
430 divided by 127 is 3 with a remainder of 49.
The number 3 becomes the next digit in our result. 
Result so far: 32330.692913
Subtracting 381 from 430 leaves us with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 14:
490 divided by 127 is 3 with a remainder of 109.
The next digit of our result is 3. 
Result so far: 32330.6929133
If we subtract 381 from 490, we get 109.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1090, and continue the process.

The quotient of the division is 32330.6929133, and the remainder is 1.09e-06.