We're dividing 419021 by 37 
Let's see how many times 37 fits into 419021.

Moving on to step 1:
37 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 37

Advancing to step 2:
37 can be fit into 41 1 times, resulting in a remainder of 4.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 37 from 41, we get 4.
Bring next digit (9) of the dividend behind the 4 and repeat the process: 49 / 37

On to step 3:
37 goes into 49 1 times with a remainder of 12.
Write down 1 as next digit of the result. 
Result so far: 11.0
Deduct 37 from 49 and we're left with 12.
Fetch the next digit (0) from the dividend, attach it to 12 and continue: 120 / 37

Going ahead to step 4:
37 goes into 120 3 times with a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 113.0
If we subtract 111 from 120, we get 9.
Grab the next digit (2) from the dividend, add it to 9, then carry on: 92 / 37

Advancing to step 5:
92 divided by 37 is 2 with a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 1132.0
Subtracting 74 from 92 leaves us with 18.
Take the next digit (1) from the dividend and append it to 18, then repeat: 181 / 37

Step 6:
37 can be fit into 181 4 times, resulting in a remainder of 33.
The next digit of our result is 4. 
Result so far: 11324.0
The remainder is 33 after subtracting 148 from 181.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 7:
The number 37 fits into 330 8 times, leaving a remainder of 34.
The next digit of our result is 8. 
Result so far: 11324.8
Deduct 296 from 330 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Let's proceed to step 8:
37 goes into 340 9 times with a remainder of 7.
The next digit of our result is 9. 
Result so far: 11324.89
If we subtract 333 from 340, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 9:
When dividing 70 by 37, we get 1 with a remainder of 33.
Use 1 as the next digit of our solution. 
Result so far: 11324.891
If we subtract 37 from 70, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 10:
330 divided by 37 is 8 with a remainder of 34.
Write down 8 as next digit of the result. 
Result so far: 11324.8918
Subtract 296 from 330 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 11:
340 divided by 37 is 9 with a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 11324.89189
If we take 333 away from 340, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 12:
37 can be fit into 70 1 times, resulting in a remainder of 33.
Write down 1 as next digit of the result. 
Result so far: 11324.891891
The remainder is 33 after subtracting 37 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 13:
37 goes into 330 8 times with a remainder of 34.
Use 8 as the next digit of our solution. 
Result so far: 11324.8918918
Subtract 296 from 330 to get 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 14:
37 goes into 340 9 times with a remainder of 7.
Record the quotient 9 as the next digit in the result. 
Result so far: 11324.89189189
Deduct 333 from 340 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final outcome is 11324.89189189, with a leftover of 7e-09.