We're dividing 371913 by 435 
We're looking to find how many times 435 goes into 371913.

Moving on to step 1:
If we divide 3 by 435, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Grab the next digit (7) from the dividend, add it to 3, then carry on: 37 / 435

Advancing to step 2:
The number 435 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 (1) from the dividend and append it to 37, then repeat: 371 / 435

Let's proceed to step 3:
If we divide 371 by 435, we get 0 and a remainder of 371.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 371 to get 371.
Bring next digit (9) of the dividend behind the 371 and repeat the process: 3719 / 435

Step 4:
3719 divided by 435 is 8 with a remainder of 239.
Write down 8 as next digit of the result. 
Result so far: 8.0
Subtracting 3480 from 3719 leaves us with 239.
Take the next digit (1) from the dividend and append it to 239, then repeat: 2391 / 435

Step 5:
If we divide 2391 by 435, we get 5 and a remainder of 216.
The next digit of our result is 5. 
Result so far: 85.0
If we take 2175 away from 2391, we end up with 216.
Bring next digit (3) of the dividend behind the 216 and repeat the process: 2163 / 435

Advancing to step 6:
435 can be fit into 2163 4 times, resulting in a remainder of 423.
Write down 4 as next digit of the result. 
Result so far: 854.0
Subtract 1740 from 2163 to get 423.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4230, and continue the process.

Moving on to step 7:
The number 435 fits into 4230 9 times, leaving a remainder of 315.
Use 9 as the next digit of our solution. 
Result so far: 854.9
The remainder is 315 after subtracting 3915 from 4230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3150, and continue the process.

Advancing to step 8:
The number 435 fits into 3150 7 times, leaving a remainder of 105.
Put 7 as the next digit of the answer. 
Result so far: 854.97
If we subtract 3045 from 3150, we get 105.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1050, and continue the process.

On to step 9:
435 can be fit into 1050 2 times, resulting in a remainder of 180.
Record the quotient 2 as the next digit in the result. 
Result so far: 854.972
Subtracting 870 from 1050 leaves us 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.

Moving on to step 10:
The number 435 fits into 1800 4 times, leaving a remainder of 60.
Use 4 as the next digit of our solution. 
Result so far: 854.9724
If we subtract 1740 from 1800, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 11:
When dividing 600 by 435, we get 1 with a remainder of 165.
Use 1 as the next digit of our solution. 
Result so far: 854.97241
The remainder is 165 after subtracting 435 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1650, and continue the process.

Going ahead to step 12:
435 goes into 1650 3 times with a remainder of 345.
The next digit of our result is 3. 
Result so far: 854.972413
If we subtract 1305 from 1650, we get 345.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3450, and continue the process.

Going ahead to step 13:
When dividing 3450 by 435, we get 7 with a remainder of 405.
Record the quotient 7 as the next digit in the result. 
Result so far: 854.9724137
The remainder is 405 after subtracting 3045 from 3450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4050, and continue the process.

Step 14:
435 can be fit into 4050 9 times, resulting in a remainder of 135.
Record the quotient 9 as the next digit in the result. 
Result so far: 854.97241379
Subtracting 3915 from 4050 leaves us with 135.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1350, and continue the process.

In conclusion, the division gives 854.97241379 with a balance of 1.35e-07.