We're dividing 374553 by 37 
We want to divide 374553 by 37.

Advancing to step 1:
3 divided by 37 is 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 37

Going ahead to step 2:
If we divide 37 by 37, we get 1 and a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 37 from 37, we get 0.
Fetch the next digit (4) from the dividend, attach it to 0 and continue: 4 / 37

Advancing to step 3:
37 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we subtract 0 from 4, we get 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 37

Let's proceed to step 4:
If we divide 45 by 37, we get 1 and a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 101.0
If we subtract 37 from 45, we get 8.
Take the next digit (5) from the dividend and append it to 8, then repeat: 85 / 37

On to step 5:
When dividing 85 by 37, we get 2 with a remainder of 11.
Put 2 as the next digit of the answer. 
Result so far: 1012.0
If we take 74 away from 85, we end up with 11.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 37

Step 6:
If we divide 113 by 37, we get 3 and a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 10123.0
Subtract 111 from 113 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 7:
20 divided by 37 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 10123.0
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 8:
If we divide 200 by 37, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 10123.05
The remainder is 15 after subtracting 185 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 9:
150 divided by 37 is 4 with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 10123.054
The remainder is 2 after subtracting 148 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 10:
When dividing 20 by 37, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 10123.054
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 11:
The number 37 fits into 200 5 times, leaving a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 10123.05405
If we subtract 185 from 200, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 12:
The number 37 fits into 150 4 times, leaving a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 10123.054054
If we subtract 148 from 150, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 13:
20 divided by 37 is 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 10123.054054
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 14:
If we divide 200 by 37, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 10123.05405405
If we subtract 185 from 200, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final outcome is 10123.05405405, with a leftover of 1.5e-08.