8603 divided by 37 
Let's see how many times 37 fits into 8603.

Step 1:
37 can be fit into 8 0 times, resulting in a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Include the next digit (6) from the dividend after 8, then repeat: 86 / 37

Step 2:
37 can be fit into 86 2 times, resulting in a remainder of 12.
The next digit of our result is 2. 
Result so far: 2.0
If we subtract 74 from 86, we get 12.
Fetch the next digit (0) from the dividend, attach it to 12 and continue: 120 / 37

Advancing to step 3:
37 goes into 120 3 times with a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 23.0
Deduct 111 from 120 and we're left with 9.
Take the next digit (3) from the dividend and append it to 9, then repeat: 93 / 37

Advancing to step 4:
The number 37 fits into 93 2 times, leaving a remainder of 19.
The next digit of our result is 2. 
Result so far: 232.0
If we take 74 away from 93, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 5:
When dividing 190 by 37, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 232.5
If we take 185 away from 190, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 6:
50 divided by 37 is 1 with a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 232.51
The remainder is 13 after subtracting 37 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 7:
130 divided by 37 is 3 with a remainder of 19.
The number 3 becomes the next digit in our result. 
Result so far: 232.513
If we take 111 away from 130, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 8:
37 goes into 190 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 232.5135
If we take 185 away from 190, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 9:
The number 37 fits into 50 1 times, leaving a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 232.51351
Subtracting 37 from 50 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 10:
If we divide 130 by 37, we get 3 and a remainder of 19.
Put 3 as the next digit of the answer. 
Result so far: 232.513513
If we take 111 away from 130, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 11:
The number 37 fits into 190 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 232.5135135
If we subtract 185 from 190, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 12:
The number 37 fits into 50 1 times, leaving a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 232.51351351
Subtract 37 from 50 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

The quotient of the division is 232.51351351, and the remainder is 1.3e-08.