583103 divided by 37 
We want to divide 583103 by 37.

Step 1:
37 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Include the next digit (8) from the dividend after 5, then repeat: 58 / 37

Advancing to step 2:
When dividing 58 by 37, we get 1 with a remainder of 21.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 21 after subtracting 37 from 58.
Include the next digit (3) from the dividend after 21, then repeat: 213 / 37

Let's proceed to step 3:
37 goes into 213 5 times with a remainder of 28.
Put 5 as the next digit of the answer. 
Result so far: 15.0
The remainder is 28 after subtracting 185 from 213.
Append the next digit (1) from the dividend to 28 and continue with: 281 / 37

Step 4:
281 divided by 37 is 7 with a remainder of 22.
The next digit of our result is 7. 
Result so far: 157.0
Subtracting 259 from 281 leaves us with 22.
Append the next digit (0) from the dividend to 22 and continue with: 220 / 37

Let's proceed to step 5:
When dividing 220 by 37, we get 5 with a remainder of 35.
The next digit of our result is 5. 
Result so far: 1575.0
Subtract 185 from 220 to get 35.
Append the next digit (3) from the dividend to 35 and continue with: 353 / 37

On to step 6:
If we divide 353 by 37, we get 9 and a remainder of 20.
Record the quotient 9 as the next digit in the result. 
Result so far: 15759.0
Subtract 333 from 353 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.

Step 7:
The number 37 fits into 200 5 times, leaving a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 15759.5
Subtract 185 from 200 to 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.

On to step 8:
37 can be fit into 150 4 times, resulting in a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 15759.54
Deduct 148 from 150 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 9:
If we divide 20 by 37, we get 0 and a remainder of 20.
Put 0 as the next digit of the answer. 
Result so far: 15759.54
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.

Going ahead to step 10:
37 goes into 200 5 times with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 15759.5405
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.

On to step 11:
37 can be fit into 150 4 times, resulting in a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 15759.54054
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.

Let's proceed to step 12:
37 can be fit into 20 0 times, resulting in a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 15759.54054
Subtracting 0 from 20 leaves us 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.

Let's proceed to step 13:
The number 37 fits into 200 5 times, leaving a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 15759.5405405
Subtracting 185 from 200 leaves us with 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 14:
37 can be fit into 150 4 times, resulting in a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 15759.54054054
If we take 148 away from 150, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

After the division, we end up with 15759.54054054 and a remainder of 2e-09.