We're dividing 557173 by 37 
We want to figure out the number of times 557173 can be divided by 37.

Going ahead to step 1:
37 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Bring next digit (5) of the dividend behind the 5 and repeat the process: 55 / 37

Advancing to step 2:
37 can be fit into 55 1 times, resulting in a remainder of 18.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 37 away from 55, we end up with 18.
Include the next digit (7) from the dividend after 18, then repeat: 187 / 37

Advancing to step 3:
When dividing 187 by 37, we get 5 with a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Subtract 185 from 187 to get 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 37

On to step 4:
37 can be fit into 21 0 times, resulting in a remainder of 21.
The number 0 becomes the next digit in our result. 
Result so far: 150.0
Subtracting 0 from 21 leaves us with 21.
Grab the next digit (7) from the dividend, add it to 21, then carry on: 217 / 37

Advancing to step 5:
37 can be fit into 217 5 times, resulting in a remainder of 32.
Record the quotient 5 as the next digit in the result. 
Result so far: 1505.0
Subtracting 185 from 217 leaves us with 32.
Append the next digit (3) from the dividend to 32 and continue with: 323 / 37

On to step 6:
37 can be fit into 323 8 times, resulting in a remainder of 27.
Record the quotient 8 as the next digit in the result. 
Result so far: 15058.0
If we take 296 away from 323, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 7:
37 can be fit into 270 7 times, resulting in a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 15058.7
Deduct 259 from 270 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 8:
110 divided by 37 is 2 with a remainder of 36.
The next digit of our result is 2. 
Result so far: 15058.72
Deduct 74 from 110 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 9:
When dividing 360 by 37, we get 9 with a remainder of 27.
Put 9 as the next digit of the answer. 
Result so far: 15058.729
If we take 333 away from 360, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 10:
270 divided by 37 is 7 with a remainder of 11.
The next digit of our result is 7. 
Result so far: 15058.7297
Subtract 259 from 270 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 11:
If we divide 110 by 37, we get 2 and a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 15058.72972
If we subtract 74 from 110, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 12:
When dividing 360 by 37, we get 9 with a remainder of 27.
The next digit of our result is 9. 
Result so far: 15058.729729
Subtract 333 from 360 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

On to step 13:
If we divide 270 by 37, we get 7 and a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 15058.7297297
Subtract 259 from 270 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 14:
37 can be fit into 110 2 times, resulting in a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 15058.72972972
Deduct 74 from 110 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Our division results in 15058.72972972 with a remaining 3.6e-08.