# Long Division Method, Divide 46858 ÷ 14

### Long Division Method, Divide 46858 ÷ 14

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

### Worksheet

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:

**Set Up:**Write the big number (dividend) inside the division bracket and the smaller number (divisor) outside.**Divide:**See how many times the divisor fits into the first few digits of the dividend.**Multiply and Subtract:**Multiply the divisor by the number you found, then subtract that from the part of the dividend you used.**Bring Down:**Bring down the next digit from the dividend to continue.**Repeat:**Repeat the process until you've used all the digits