We're dividing 59774 by 37 
We want to figure out the number of times 59774 can be divided by 37.

Going ahead to 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
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (9) from the dividend, attach it to 5 and continue: 59 / 37

Advancing to step 2:
59 divided by 37 is 1 with a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 37 away from 59, we end up with 22.
Include the next digit (7) from the dividend after 22, then repeat: 227 / 37

Going ahead to step 3:
If we divide 227 by 37, we get 6 and a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 16.0
If we take 222 away from 227, we end up with 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 37

On to step 4:
57 divided by 37 is 1 with a remainder of 20.
Record the quotient 1 as the next digit in the result. 
Result so far: 161.0
Deduct 37 from 57 and we're left with 20.
Fetch the next digit (4) from the dividend, attach it to 20 and continue: 204 / 37

Moving on to step 5:
37 can be fit into 204 5 times, resulting in a remainder of 19.
Record the quotient 5 as the next digit in the result. 
Result so far: 1615.0
Subtracting 185 from 204 leaves us 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.

Advancing to step 6:
If we divide 190 by 37, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 1615.5
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.

Advancing to step 7:
If we divide 50 by 37, we get 1 and a remainder of 13.
The next digit of our result is 1. 
Result so far: 1615.51
If we take 37 away from 50, we end up 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.

Let's proceed to step 8:
When dividing 130 by 37, we get 3 with a remainder of 19.
Write down 3 as next digit of the result. 
Result so far: 1615.513
If we subtract 111 from 130, we get 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 9:
If we divide 190 by 37, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 1615.5135
Subtracting 185 from 190 leaves us 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.

On to step 10:
If we divide 50 by 37, we get 1 and a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 1615.51351
Deduct 37 from 50 and we're left 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.

On to step 11:
37 can be fit into 130 3 times, resulting in a remainder of 19.
Use 3 as the next digit of our solution. 
Result so far: 1615.513513
If we subtract 111 from 130, we get 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 12:
37 goes into 190 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 1615.5135135
The remainder is 5 after subtracting 185 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 13:
50 divided by 37 is 1 with a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 1615.51351351
Deduct 37 from 50 and we're left 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.

The quotient of the division is 1615.51351351, and the remainder is 1.3e-08.