602560 ÷ 37 
Our goal is to divide 602560 by 37.

Advancing to step 1:
37 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Fetch the next digit (0) from the dividend, attach it to 6 and continue: 60 / 37

Step 2:
The number 37 fits into 60 1 times, leaving a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Subtracting 37 from 60 leaves us with 23.
Grab the next digit (2) from the dividend, add it to 23, then carry on: 232 / 37

Moving on to step 3:
The number 37 fits into 232 6 times, leaving a remainder of 10.
Write down 6 as next digit of the result. 
Result so far: 16.0
Subtracting 222 from 232 leaves us with 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 37

Going ahead to step 4:
The number 37 fits into 105 2 times, leaving a remainder of 31.
Write down 2 as next digit of the result. 
Result so far: 162.0
Deduct 74 from 105 and we're left with 31.
Take the next digit (6) from the dividend and append it to 31, then repeat: 316 / 37

Moving on to step 5:
37 goes into 316 8 times with a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 1628.0
Subtracting 296 from 316 leaves us with 20.
Fetch the next digit (0) from the dividend, attach it to 20 and continue: 200 / 37

Going ahead to step 6:
The number 37 fits into 200 5 times, leaving a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 16285.0
Deduct 185 from 200 and we're left 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 7:
150 divided by 37 is 4 with a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 16285.4
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.

Let's proceed to step 8:
If we divide 20 by 37, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 16285.4
The remainder is 20 after subtracting 0 from 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 9:
37 goes into 200 5 times with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 16285.405
Deduct 185 from 200 and we're left 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 10:
150 divided by 37 is 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 16285.4054
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.

On to step 11:
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: 16285.4054
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.

Going ahead to step 12:
When dividing 200 by 37, we get 5 with a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 16285.405405
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.

Step 13:
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: 16285.4054054
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.

On to step 14:
37 can be fit into 20 0 times, resulting in a remainder of 20.
The next digit of our result is 0. 
Result so far: 16285.4054054
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.

In conclusion, the division gives 16285.4054054 with a balance of 2e-08.