Long Division Method, Divide 46858 ÷ 14

A detailed step-by-step method for solving \(46858 \div 14\) using long division:

Long Division Steps:

1. Set Up the Division:

Write 46858 inside the division bracket and 14 outside.

________
14 | 46858

2. Divide the First Digit or Group:

- Divide 46 by 14: The number of times 14 fits into 46 is 3 (since \(14 \times 3 = 42\)).
- Write 3 above the line.
- Multiply 3 by 14 to get 42.
- Subtract 42 from 46: \(46 - 42 = 4\).
- Bring down the next digit (8) to make 48.

3
________
14 | 46858
-42
______
48

3. Divide the New Number:

- Divide 48 by 14: The number of times 14 fits into 48 is 3 (since \(14 \times 3 = 42\)).
- Write 3 above the line next to the previous 3.
- Multiply 3 by 14 to get 42.
- Subtract 42 from 48: \(48 - 42 = 6\).
- Bring down the next digit (5) to make 65.

33
________
14 | 46858
-42
______
48
-42
______
65

4. Divide the New Number:

- Divide 65 by 14: The number of times 14 fits into 65 is 4 (since \(14 \times 4 = 56\)).
- Write 4 above the line next to the previous 33.
- Multiply 4 by 14 to get 56.
- Subtract 56 from 65: \(65 - 56 = 9\).
- Bring down the next digit (8) to make 98.

334
________
14 | 46858
-42
______
48
-42
______
65
-56
______
98

5. Divide the Final Number:

- Divide 98 by 14: The number of times 14 fits into 98 is 7 (since \(14 \times 7 = 98\)).
- Write 7 above the line next to the previous 334.
- Multiply 7 by 14 to get 98.
- Subtract 98 from 98: \(98 - 98 = 0\).

3347
________
14 | 46858
-42
______
48
-42
______
65
-56
______
98
-98
______
0

Final Answer:
The quotient of \(46858 \div 14\) is 3347.

Short Math Note on Long Division:

Long Division helps us divide big numbers into smaller, more manageable pieces. Here's how it works:

1. Set Up: Write the big number (dividend) inside the division bracket and the smaller number (divisor) outside.

2. Divide: See how many times the divisor fits into the first few digits of the dividend.

3. Multiply and Subtract: Multiply the divisor by the number you found, then subtract that from the part of the dividend you used.

4. Bring Down: Bring down the next digit from the dividend to continue.

5. Repeat: Repeat the process until you've used all the digits