We're dividing 13503674 by 359 
We want to figure out the number of times 13503674 can be divided by 359.

Let's proceed to step 1:
The number 359 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 359

Advancing to step 2:
If we divide 13 by 359, we get 0 and a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 359

Moving on to step 3:
If we divide 135 by 359, we get 0 and a remainder of 135.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 135 after subtracting 0 from 135.
Include the next digit (0) from the dividend after 135, then repeat: 1350 / 359

Let's proceed to step 4:
1350 divided by 359 is 3 with a remainder of 273.
Put 3 as the next digit of the answer. 
Result so far: 3.0
The remainder is 273 after subtracting 1077 from 1350.
Append the next digit (3) from the dividend to 273 and continue with: 2733 / 359

Advancing to step 5:
359 can be fit into 2733 7 times, resulting in a remainder of 220.
The next digit of our result is 7. 
Result so far: 37.0
Subtract 2513 from 2733 to get 220.
Bring next digit (6) of the dividend behind the 220 and repeat the process: 2206 / 359

Going ahead to step 6:
When dividing 2206 by 359, we get 6 with a remainder of 52.
Use 6 as the next digit of our solution. 
Result so far: 376.0
Deduct 2154 from 2206 and we're left with 52.
Take the next digit (7) from the dividend and append it to 52, then repeat: 527 / 359

Moving on to step 7:
The number 359 fits into 527 1 times, leaving a remainder of 168.
Record the quotient 1 as the next digit in the result. 
Result so far: 3761.0
If we take 359 away from 527, we end up with 168.
Grab the next digit (4) from the dividend, add it to 168, then carry on: 1684 / 359

Advancing to step 8:
The number 359 fits into 1684 4 times, leaving a remainder of 248.
Use 4 as the next digit of our solution. 
Result so far: 37614.0
If we subtract 1436 from 1684, we get 248.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2480, and continue the process.

On to step 9:
359 goes into 2480 6 times with a remainder of 326.
The number 6 becomes the next digit in our result. 
Result so far: 37614.6
The remainder is 326 after subtracting 2154 from 2480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3260, and continue the process.

Step 10:
359 can be fit into 3260 9 times, resulting in a remainder of 29.
Write down 9 as next digit of the result. 
Result so far: 37614.69
Deduct 3231 from 3260 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 11:
When dividing 290 by 359, we get 0 with a remainder of 290.
Use 0 as the next digit of our solution. 
Result so far: 37614.69
Deduct 0 from 290 and we're left with 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2900, and continue the process.

Step 12:
359 can be fit into 2900 8 times, resulting in a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 37614.6908
The remainder is 28 after subtracting 2872 from 2900.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 13:
The number 359 fits into 280 0 times, leaving a remainder of 280.
The number 0 becomes the next digit in our result. 
Result so far: 37614.6908
Subtract 0 from 280 to get 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2800, and continue the process.

On to step 14:
2800 divided by 359 is 7 with a remainder of 287.
Put 7 as the next digit of the answer. 
Result so far: 37614.690807
If we take 2513 away from 2800, we end up with 287.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2870, and continue the process.

Let's proceed to step 15:
359 goes into 2870 7 times with a remainder of 357.
Record the quotient 7 as the next digit in the result. 
Result so far: 37614.6908077
If we take 2513 away from 2870, we end up with 357.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3570, and continue the process.

The final outcome is 37614.6908077, with a leftover of 3.57e-06.