373719 ÷ 35 
Our goal is to divide 373719 by 35.

Step 1:
The number 35 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 35

Advancing to step 2:
35 can be fit into 37 1 times, resulting in a remainder of 2.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 35 from 37, we get 2.
Take the next digit (3) from the dividend and append it to 2, then repeat: 23 / 35

On to step 3:
If we divide 23 by 35, we get 0 and a remainder of 23.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtract 0 from 23 to get 23.
Take the next digit (7) from the dividend and append it to 23, then repeat: 237 / 35

Advancing to step 4:
If we divide 237 by 35, we get 6 and a remainder of 27.
Record the quotient 6 as the next digit in the result. 
Result so far: 106.0
Subtracting 210 from 237 leaves us with 27.
Include the next digit (1) from the dividend after 27, then repeat: 271 / 35

Moving on to step 5:
271 divided by 35 is 7 with a remainder of 26.
Put 7 as the next digit of the answer. 
Result so far: 1067.0
Subtracting 245 from 271 leaves us with 26.
Include the next digit (9) from the dividend after 26, then repeat: 269 / 35

Moving on to step 6:
269 divided by 35 is 7 with a remainder of 24.
Put 7 as the next digit of the answer. 
Result so far: 10677.0
If we subtract 245 from 269, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 7:
35 goes into 240 6 times with a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 10677.6
Subtracting 210 from 240 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 8:
35 goes into 300 8 times with a remainder of 20.
The next digit of our result is 8. 
Result so far: 10677.68
If we take 280 away from 300, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
35 goes into 200 5 times with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 10677.685
Deduct 175 from 200 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 10:
The number 35 fits into 250 7 times, leaving a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 10677.6857
Subtract 245 from 250 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 11:
35 goes into 50 1 times with a remainder of 15.
The next digit of our result is 1. 
Result so far: 10677.68571
Deduct 35 from 50 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 12:
If we divide 150 by 35, we get 4 and a remainder of 10.
Write down 4 as next digit of the result. 
Result so far: 10677.685714
Deduct 140 from 150 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 13:
If we divide 100 by 35, we get 2 and a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 10677.6857142
Subtract 70 from 100 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 14:
When dividing 300 by 35, we get 8 with a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 10677.68571428
Deduct 280 from 300 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 10677.68571428 and a remainder of 2e-08.