419341 divided by 37 
Our goal is to divide 419341 by 37.

On to step 1:
4 divided by 37 is 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 37

Step 2:
If we divide 41 by 37, we get 1 and a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 37 from 41 and we're left with 4.
Fetch the next digit (9) from the dividend, attach it to 4 and continue: 49 / 37

Let's proceed 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
If we subtract 37 from 49, we get 12.
Bring next digit (3) of the dividend behind the 12 and repeat the process: 123 / 37

Let's proceed to step 4:
If we divide 123 by 37, we get 3 and a remainder of 12.
Put 3 as the next digit of the answer. 
Result so far: 113.0
Deduct 111 from 123 and we're left with 12.
Grab the next digit (4) from the dividend, add it to 12, then carry on: 124 / 37

Advancing to step 5:
124 divided by 37 is 3 with a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 1133.0
Deduct 111 from 124 and we're left with 13.
Include the next digit (1) from the dividend after 13, then repeat: 131 / 37

Moving on to step 6:
37 can be fit into 131 3 times, resulting in a remainder of 20.
The next digit of our result is 3. 
Result so far: 11333.0
Subtracting 111 from 131 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 7:
When dividing 200 by 37, we get 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 11333.5
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.

Step 8:
37 can be fit into 150 4 times, resulting in a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 11333.54
The remainder is 2 after subtracting 148 from 150.
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 9:
37 can be fit into 20 0 times, resulting in a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 11333.54
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 10:
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: 11333.5405
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.

Advancing to step 11:
When dividing 150 by 37, we get 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 11333.54054
Subtract 148 from 150 to 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.

Advancing to step 12:
The number 37 fits into 20 0 times, leaving a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 11333.54054
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.

Step 13:
When dividing 200 by 37, we get 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 11333.5405405
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.

Going ahead to step 14:
150 divided by 37 is 4 with a remainder of 2.
The next digit of our result is 4. 
Result so far: 11333.54054054
The remainder is 2 after subtracting 148 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final result is 11333.54054054 with a remainder of 2e-09.