42913637 ÷ 121 
Our goal is to divide 42913637 by 121.

Step 1:
When dividing 4 by 121, we get 0 with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (2) from the dividend to 4 and continue with: 42 / 121

Moving on to step 2:
121 can be fit into 42 0 times, resulting in a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 42 after subtracting 0 from 42.
Bring next digit (9) of the dividend behind the 42 and repeat the process: 429 / 121

On to step 3:
121 goes into 429 3 times with a remainder of 66.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 363 from 429 and we're left with 66.
Fetch the next digit (1) from the dividend, attach it to 66 and continue: 661 / 121

Moving on to step 4:
121 goes into 661 5 times with a remainder of 56.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
Deduct 605 from 661 and we're left with 56.
Bring next digit (3) of the dividend behind the 56 and repeat the process: 563 / 121

Moving on to step 5:
121 goes into 563 4 times with a remainder of 79.
Put 4 as the next digit of the answer. 
Result so far: 354.0
The remainder is 79 after subtracting 484 from 563.
Include the next digit (6) from the dividend after 79, then repeat: 796 / 121

Moving on to step 6:
121 can be fit into 796 6 times, resulting in a remainder of 70.
The next digit of our result is 6. 
Result so far: 3546.0
Deduct 726 from 796 and we're left with 70.
Fetch the next digit (3) from the dividend, attach it to 70 and continue: 703 / 121

Going ahead to step 7:
When dividing 703 by 121, we get 5 with a remainder of 98.
The next digit of our result is 5. 
Result so far: 35465.0
Subtract 605 from 703 to get 98.
Bring next digit (7) of the dividend behind the 98 and repeat the process: 987 / 121

Step 8:
The number 121 fits into 987 8 times, leaving a remainder of 19.
Record the quotient 8 as the next digit in the result. 
Result so far: 354658.0
If we take 968 away from 987, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 9:
If we divide 190 by 121, we get 1 and a remainder of 69.
Put 1 as the next digit of the answer. 
Result so far: 354658.1
Subtracting 121 from 190 leaves us with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Advancing to step 10:
If we divide 690 by 121, we get 5 and a remainder of 85.
The next digit of our result is 5. 
Result so far: 354658.15
Subtract 605 from 690 to get 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Going ahead to step 11:
If we divide 850 by 121, we get 7 and a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 354658.157
Subtract 847 from 850 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 12:
The number 121 fits into 30 0 times, leaving a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 354658.157
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 13:
300 divided by 121 is 2 with a remainder of 58.
Record the quotient 2 as the next digit in the result. 
Result so far: 354658.15702
Deduct 242 from 300 and we're left with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 14:
If we divide 580 by 121, we get 4 and a remainder of 96.
Record the quotient 4 as the next digit in the result. 
Result so far: 354658.157024
Subtract 484 from 580 to get 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Let's proceed to step 15:
If we divide 960 by 121, we get 7 and a remainder of 113.
Use 7 as the next digit of our solution. 
Result so far: 354658.1570247
If we subtract 847 from 960, we get 113.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1130, and continue the process.

Step 16:
If we divide 1130 by 121, we get 9 and a remainder of 41.
The next digit of our result is 9. 
Result so far: 354658.15702479
Deduct 1089 from 1130 and we're left with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

The final outcome is 354658.15702479, with a leftover of 4.1e-08.