We're dividing 37257425 by 427 
We want to divide 37257425 by 427.

Let's proceed to step 1:
3 divided by 427 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 427

Advancing to step 2:
The number 427 fits into 37 0 times, leaving a remainder of 37.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 37 and we're left with 37.
Fetch the next digit (2) from the dividend, attach it to 37 and continue: 372 / 427

On to step 3:
427 goes into 372 0 times with a remainder of 372.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 372, we end up with 372.
Fetch the next digit (5) from the dividend, attach it to 372 and continue: 3725 / 427

Advancing to step 4:
The number 427 fits into 3725 8 times, leaving a remainder of 309.
The next digit of our result is 8. 
Result so far: 8.0
If we take 3416 away from 3725, we end up with 309.
Append the next digit (7) from the dividend to 309 and continue with: 3097 / 427

Let's proceed to step 5:
The number 427 fits into 3097 7 times, leaving a remainder of 108.
The number 7 becomes the next digit in our result. 
Result so far: 87.0
Subtract 2989 from 3097 to get 108.
Fetch the next digit (4) from the dividend, attach it to 108 and continue: 1084 / 427

Advancing to step 6:
When dividing 1084 by 427, we get 2 with a remainder of 230.
Use 2 as the next digit of our solution. 
Result so far: 872.0
If we subtract 854 from 1084, we get 230.
Append the next digit (2) from the dividend to 230 and continue with: 2302 / 427

Let's proceed to step 7:
When dividing 2302 by 427, we get 5 with a remainder of 167.
Use 5 as the next digit of our solution. 
Result so far: 8725.0
Subtract 2135 from 2302 to get 167.
Grab the next digit (5) from the dividend, add it to 167, then carry on: 1675 / 427

Advancing to step 8:
427 can be fit into 1675 3 times, resulting in a remainder of 394.
Use 3 as the next digit of our solution. 
Result so far: 87253.0
Deduct 1281 from 1675 and we're left with 394.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3940, and continue the process.

On to step 9:
427 can be fit into 3940 9 times, resulting in a remainder of 97.
The number 9 becomes the next digit in our result. 
Result so far: 87253.9
If we subtract 3843 from 3940, we get 97.
Since there are no more digits in the dividend, we add a zero to the remainder making it 970, and continue the process.

Step 10:
If we divide 970 by 427, we get 2 and a remainder of 116.
The next digit of our result is 2. 
Result so far: 87253.92
Subtract 854 from 970 to get 116.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1160, and continue the process.

Let's proceed to step 11:
If we divide 1160 by 427, we get 2 and a remainder of 306.
Write down 2 as next digit of the result. 
Result so far: 87253.922
Subtract 854 from 1160 to get 306.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3060, and continue the process.

In conclusion, the division gives 87253.922 with a balance of 0.0306.