We're dividing 37258421 by 512 
We want to divide 37258421 by 512.

Going ahead to step 1:
If we divide 3 by 512, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 512

Going ahead to step 2:
The number 512 fits into 37 0 times, leaving a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 37 leaves us with 37.
Take the next digit (2) from the dividend and append it to 37, then repeat: 372 / 512

On to step 3:
If we divide 372 by 512, we get 0 and a remainder of 372.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 372 leaves us with 372.
Grab the next digit (5) from the dividend, add it to 372, then carry on: 3725 / 512

Advancing to step 4:
512 can be fit into 3725 7 times, resulting in a remainder of 141.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we take 3584 away from 3725, we end up with 141.
Bring next digit (8) of the dividend behind the 141 and repeat the process: 1418 / 512

Step 5:
512 goes into 1418 2 times with a remainder of 394.
Put 2 as the next digit of the answer. 
Result so far: 72.0
The remainder is 394 after subtracting 1024 from 1418.
Grab the next digit (4) from the dividend, add it to 394, then carry on: 3944 / 512

Moving on to step 6:
512 goes into 3944 7 times with a remainder of 360.
Put 7 as the next digit of the answer. 
Result so far: 727.0
Subtracting 3584 from 3944 leaves us with 360.
Take the next digit (2) from the dividend and append it to 360, then repeat: 3602 / 512

Advancing to step 7:
The number 512 fits into 3602 7 times, leaving a remainder of 18.
The next digit of our result is 7. 
Result so far: 7277.0
Subtracting 3584 from 3602 leaves us with 18.
Include the next digit (1) from the dividend after 18, then repeat: 181 / 512

On to step 8:
512 goes into 181 0 times with a remainder of 181.
Record the quotient 0 as the next digit in the result. 
Result so far: 72770.0
Deduct 0 from 181 and we're left with 181.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1810, and continue the process.

On to step 9:
The number 512 fits into 1810 3 times, leaving a remainder of 274.
Put 3 as the next digit of the answer. 
Result so far: 72770.3
If we take 1536 away from 1810, we end up with 274.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2740, and continue the process.

Advancing to step 10:
If we divide 2740 by 512, we get 5 and a remainder of 180.
The number 5 becomes the next digit in our result. 
Result so far: 72770.35
Deduct 2560 from 2740 and we're left with 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

Step 11:
The number 512 fits into 1800 3 times, leaving a remainder of 264.
Use 3 as the next digit of our solution. 
Result so far: 72770.353
The remainder is 264 after subtracting 1536 from 1800.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2640, and continue the process.

Let's proceed to step 12:
The number 512 fits into 2640 5 times, leaving a remainder of 80.
Use 5 as the next digit of our solution. 
Result so far: 72770.3535
Subtract 2560 from 2640 to get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Step 13:
If we divide 800 by 512, we get 1 and a remainder of 288.
Use 1 as the next digit of our solution. 
Result so far: 72770.35351
If we subtract 512 from 800, we get 288.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2880, and continue the process.

Let's proceed to step 14:
The number 512 fits into 2880 5 times, leaving a remainder of 320.
The next digit of our result is 5. 
Result so far: 72770.353515
If we subtract 2560 from 2880, we get 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3200, and continue the process.

Advancing to step 15:
The number 512 fits into 3200 6 times, leaving a remainder of 128.
The next digit of our result is 6. 
Result so far: 72770.3535156
Subtracting 3072 from 3200 leaves us with 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

Let's proceed to step 16:
When dividing 1280 by 512, we get 2 with a remainder of 256.
Use 2 as the next digit of our solution. 
Result so far: 72770.35351562
If we subtract 1024 from 1280, we get 256.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2560, and continue the process.

Our division results in 72770.35351562 with a remaining 2.56e-07.