Solve 4500div340

$$4500 \div 340$$

Evaluate

$$\frac{225}{17}\approx 13.235294118$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4500

$$\begin{array}{l}\phantom{340)}\phantom{1}\\340\overline{)4500}\\\end{array}$$

Since 4 is less than 340, use the next digit 5 from dividend 4500 and add 0 to the quotient

$$\begin{array}{l}\phantom{340)}0\phantom{2}\\340\overline{)4500}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 4500

$$\begin{array}{l}\phantom{340)}0\phantom{3}\\340\overline{)4500}\\\end{array}$$

Since 45 is less than 340, use the next digit 0 from dividend 4500 and add 0 to the quotient

$$\begin{array}{l}\phantom{340)}00\phantom{4}\\340\overline{)4500}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 4500

$$\begin{array}{l}\phantom{340)}00\phantom{5}\\340\overline{)4500}\\\end{array}$$

Find closest multiple of 340 to 450. We see that 1 \times 340 = 340 is the nearest. Now subtract 340 from 450 to get reminder 110. Add 1 to quotient.

$$\begin{array}{l}\phantom{340)}001\phantom{6}\\340\overline{)4500}\\\phantom{340)}\underline{\phantom{}340\phantom{9}}\\\phantom{340)}110\\\end{array}$$

Use the 4^{th} digit 0 from dividend 4500

$$\begin{array}{l}\phantom{340)}001\phantom{7}\\340\overline{)4500}\\\phantom{340)}\underline{\phantom{}340\phantom{9}}\\\phantom{340)}1100\\\end{array}$$

Find closest multiple of 340 to 1100. We see that 3 \times 340 = 1020 is the nearest. Now subtract 1020 from 1100 to get reminder 80. Add 3 to quotient.

$$\begin{array}{l}\phantom{340)}0013\phantom{8}\\340\overline{)4500}\\\phantom{340)}\underline{\phantom{}340\phantom{9}}\\\phantom{340)}1100\\\phantom{340)}\underline{\phantom{}1020\phantom{}}\\\phantom{340)99}80\\\end{array}$$

Since 80 is less than 340, stop the division. The reminder is 80. The topmost line 0013 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 13.

$$\text{Quotient: }13 \text{Reminder: }80$$

Factor

$$\frac{3 ^ {2} \cdot 5 ^ {2}}{17} = 13\frac{4}{17} = 13.235294117647058$$