1603514 ÷ 429 
We're looking to find how many times 429 goes into 1603514.

Advancing to step 1:
1 divided by 429 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 429

Advancing to step 2:
The number 429 fits into 16 0 times, leaving a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 16, we get 16.
Grab the next digit (0) from the dividend, add it to 16, then carry on: 160 / 429

Step 3:
If we divide 160 by 429, we get 0 and a remainder of 160.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 160 to get 160.
Bring next digit (3) of the dividend behind the 160 and repeat the process: 1603 / 429

Let's proceed to step 4:
1603 divided by 429 is 3 with a remainder of 316.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we subtract 1287 from 1603, we get 316.
Include the next digit (5) from the dividend after 316, then repeat: 3165 / 429

Step 5:
3165 divided by 429 is 7 with a remainder of 162.
The next digit of our result is 7. 
Result so far: 37.0
If we subtract 3003 from 3165, we get 162.
Fetch the next digit (1) from the dividend, attach it to 162 and continue: 1621 / 429

Advancing to step 6:
When dividing 1621 by 429, we get 3 with a remainder of 334.
Write down 3 as next digit of the result. 
Result so far: 373.0
The remainder is 334 after subtracting 1287 from 1621.
Grab the next digit (4) from the dividend, add it to 334, then carry on: 3344 / 429

Let's proceed to step 7:
If we divide 3344 by 429, we get 7 and a remainder of 341.
Use 7 as the next digit of our solution. 
Result so far: 3737.0
If we take 3003 away from 3344, we end up with 341.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3410, and continue the process.

Moving on to step 8:
If we divide 3410 by 429, we get 7 and a remainder of 407.
Use 7 as the next digit of our solution. 
Result so far: 3737.7
Subtracting 3003 from 3410 leaves us with 407.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4070, and continue the process.

Let's proceed to step 9:
429 goes into 4070 9 times with a remainder of 209.
The number 9 becomes the next digit in our result. 
Result so far: 3737.79
If we take 3861 away from 4070, we end up with 209.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2090, and continue the process.

On to step 10:
When dividing 2090 by 429, we get 4 with a remainder of 374.
The next digit of our result is 4. 
Result so far: 3737.794
Deduct 1716 from 2090 and we're left with 374.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3740, and continue the process.

On to step 11:
The number 429 fits into 3740 8 times, leaving a remainder of 308.
Use 8 as the next digit of our solution. 
Result so far: 3737.7948
Subtracting 3432 from 3740 leaves us with 308.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3080, and continue the process.

Moving on to step 12:
When dividing 3080 by 429, we get 7 with a remainder of 77.
Write down 7 as next digit of the result. 
Result so far: 3737.79487
If we take 3003 away from 3080, we end up with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Step 13:
If we divide 770 by 429, we get 1 and a remainder of 341.
Put 1 as the next digit of the answer. 
Result so far: 3737.794871
The remainder is 341 after subtracting 429 from 770.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3410, and continue the process.

Let's proceed to step 14:
429 goes into 3410 7 times with a remainder of 407.
The next digit of our result is 7. 
Result so far: 3737.7948717
Subtracting 3003 from 3410 leaves us with 407.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4070, and continue the process.

Step 15:
When dividing 4070 by 429, we get 9 with a remainder of 209.
Put 9 as the next digit of the answer. 
Result so far: 3737.79487179
Subtract 3861 from 4070 to get 209.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2090, and continue the process.

In conclusion, the division gives 3737.79487179 with a balance of 2.09e-07.