We're dividing 105328 by 37 
We want to figure out the number of times 105328 can be divided by 37.

On to step 1:
37 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
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 / 37

Advancing to step 2:
When dividing 10 by 37, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Grab the next digit (5) from the dividend, add it to 10, then carry on: 105 / 37

On to step 3:
If we divide 105 by 37, we get 2 and a remainder of 31.
The next digit of our result is 2. 
Result so far: 2.0
The remainder is 31 after subtracting 74 from 105.
Bring next digit (3) of the dividend behind the 31 and repeat the process: 313 / 37

Advancing to step 4:
313 divided by 37 is 8 with a remainder of 17.
Record the quotient 8 as the next digit in the result. 
Result so far: 28.0
If we take 296 away from 313, we end up with 17.
Take the next digit (2) from the dividend and append it to 17, then repeat: 172 / 37

Let's proceed to step 5:
When dividing 172 by 37, we get 4 with a remainder of 24.
The number 4 becomes the next digit in our result. 
Result so far: 284.0
Deduct 148 from 172 and we're left with 24.
Bring next digit (8) of the dividend behind the 24 and repeat the process: 248 / 37

Step 6:
When dividing 248 by 37, we get 6 with a remainder of 26.
Record the quotient 6 as the next digit in the result. 
Result so far: 2846.0
If we subtract 222 from 248, we 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.

Going ahead to step 7:
The number 37 fits into 260 7 times, leaving a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 2846.7
Subtracting 259 from 260 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 8:
The number 37 fits into 10 0 times, leaving a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 2846.7
Subtracting 0 from 10 leaves us 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.

Moving on to step 9:
37 can be fit into 100 2 times, resulting in a remainder of 26.
Use 2 as the next digit of our solution. 
Result so far: 2846.702
If we subtract 74 from 100, we 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.

Advancing to step 10:
37 can be fit into 260 7 times, resulting in a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 2846.7027
Subtract 259 from 260 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 11:
37 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 2846.7027
Deduct 0 from 10 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.

Step 12:
37 goes into 100 2 times with a remainder of 26.
Put 2 as the next digit of the answer. 
Result so far: 2846.702702
Subtracting 74 from 100 leaves us 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.

On to step 13:
If we divide 260 by 37, we get 7 and a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 2846.7027027
Deduct 259 from 260 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 14:
10 divided by 37 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 2846.7027027
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 2846.7027027, and the remainder is 1e-08.