34350619 ÷ 377 
Our goal is to divide 34350619 by 377.

Step 1:
When dividing 3 by 377, we get 0 with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (4) from the dividend after 3, then repeat: 34 / 377

Let's proceed to step 2:
The number 377 fits into 34 0 times, leaving a remainder of 34.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 34, we get 34.
Grab the next digit (3) from the dividend, add it to 34, then carry on: 343 / 377

Moving on to step 3:
If we divide 343 by 377, we get 0 and a remainder of 343.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 343 after subtracting 0 from 343.
Grab the next digit (5) from the dividend, add it to 343, then carry on: 3435 / 377

Let's proceed to step 4:
When dividing 3435 by 377, we get 9 with a remainder of 42.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
The remainder is 42 after subtracting 3393 from 3435.
Bring next digit (0) of the dividend behind the 42 and repeat the process: 420 / 377

Moving on to step 5:
377 can be fit into 420 1 times, resulting in a remainder of 43.
The next digit of our result is 1. 
Result so far: 91.0
Subtract 377 from 420 to get 43.
Include the next digit (6) from the dividend after 43, then repeat: 436 / 377

Step 6:
The number 377 fits into 436 1 times, leaving a remainder of 59.
Record the quotient 1 as the next digit in the result. 
Result so far: 911.0
The remainder is 59 after subtracting 377 from 436.
Take the next digit (1) from the dividend and append it to 59, then repeat: 591 / 377

On to step 7:
The number 377 fits into 591 1 times, leaving a remainder of 214.
Use 1 as the next digit of our solution. 
Result so far: 9111.0
Deduct 377 from 591 and we're left with 214.
Fetch the next digit (9) from the dividend, attach it to 214 and continue: 2149 / 377

Moving on to step 8:
If we divide 2149 by 377, we get 5 and a remainder of 264.
Put 5 as the next digit of the answer. 
Result so far: 91115.0
If we take 1885 away from 2149, we end up with 264.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2640, and continue the process.

Going ahead to step 9:
377 can be fit into 2640 7 times, resulting in a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 91115.7
Subtract 2639 from 2640 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 10:
10 divided by 377 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 91115.7
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 11:
377 can be fit into 100 0 times, resulting in a remainder of 100.
The next digit of our result is 0. 
Result so far: 91115.7
Subtract 0 from 100 to get 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1000, and continue the process.

After the division, we end up with 91115.7 and a remainder of 0.01.