We divide 105937 by 51
Our goal is to divide 105937 by 51.

Moving on to step 1:
1 divided by 51 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 51

Advancing to step 2:
If we divide 10 by 51, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 51

Advancing to step 3:
The number 51 fits into 105 2 times, leaving a remainder of 3.
The next digit of our result is 2. 
Result so far: 2.0
If we take 102 away from 105, we end up with 3.
Grab the next digit (9) from the dividend, add it to 3, then carry on: 39 / 51

Moving on to step 4:
51 can be fit into 39 0 times, resulting in a remainder of 39.
The next digit of our result is 0. 
Result so far: 20.0
If we subtract 0 from 39, we get 39.
Append the next digit (3) from the dividend to 39 and continue with: 393 / 51

On to step 5:
If we divide 393 by 51, we get 7 and a remainder of 36.
The number 7 becomes the next digit in our result. 
Result so far: 207.0
If we subtract 357 from 393, we get 36.
Fetch the next digit (7) from the dividend, attach it to 36 and continue: 367 / 51

Let's proceed to step 6:
367 divided by 51 is 7 with a remainder of 10.
The next digit of our result is 7. 
Result so far: 2077.0
Deduct 357 from 367 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
The number 51 fits into 100 1 times, leaving a remainder of 49.
Record the quotient 1 as the next digit in the result. 
Result so far: 2077.1
If we take 51 away from 100, we end up 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 8:
When dividing 490 by 51, we get 9 with a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 2077.19
The remainder is 31 after subtracting 459 from 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 9:
The number 51 fits into 310 6 times, leaving a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 2077.196
Subtracting 306 from 310 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 10:
The number 51 fits into 40 0 times, leaving a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 2077.196
If we subtract 0 from 40, we get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Advancing to step 11:
51 can be fit into 400 7 times, resulting in a remainder of 43.
Write down 7 as next digit of the result. 
Result so far: 2077.19607
Deduct 357 from 400 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 12:
51 can be fit into 430 8 times, resulting in a remainder of 22.
Put 8 as the next digit of the answer. 
Result so far: 2077.196078
Subtracting 408 from 430 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 13:
220 divided by 51 is 4 with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 2077.1960784
Subtract 204 from 220 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 14:
160 divided by 51 is 3 with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 2077.19607843
If we take 153 away from 160, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

After the division, we end up with 2077.19607843 and a remainder of 7e-09.