Solve 5200div175

$$5200 \div 175$$

Evaluate

$$\frac{208}{7}\approx 29.714285714$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5200

$$\begin{array}{l}\phantom{175)}\phantom{1}\\175\overline{)5200}\\\end{array}$$

Since 5 is less than 175, use the next digit 2 from dividend 5200 and add 0 to the quotient

$$\begin{array}{l}\phantom{175)}0\phantom{2}\\175\overline{)5200}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 5200

$$\begin{array}{l}\phantom{175)}0\phantom{3}\\175\overline{)5200}\\\end{array}$$

Since 52 is less than 175, use the next digit 0 from dividend 5200 and add 0 to the quotient

$$\begin{array}{l}\phantom{175)}00\phantom{4}\\175\overline{)5200}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 5200

$$\begin{array}{l}\phantom{175)}00\phantom{5}\\175\overline{)5200}\\\end{array}$$

Find closest multiple of 175 to 520. We see that 2 \times 175 = 350 is the nearest. Now subtract 350 from 520 to get reminder 170. Add 2 to quotient.

$$\begin{array}{l}\phantom{175)}002\phantom{6}\\175\overline{)5200}\\\phantom{175)}\underline{\phantom{}350\phantom{9}}\\\phantom{175)}170\\\end{array}$$

Use the 4^{th} digit 0 from dividend 5200

$$\begin{array}{l}\phantom{175)}002\phantom{7}\\175\overline{)5200}\\\phantom{175)}\underline{\phantom{}350\phantom{9}}\\\phantom{175)}1700\\\end{array}$$

Find closest multiple of 175 to 1700. We see that 9 \times 175 = 1575 is the nearest. Now subtract 1575 from 1700 to get reminder 125. Add 9 to quotient.

$$\begin{array}{l}\phantom{175)}0029\phantom{8}\\175\overline{)5200}\\\phantom{175)}\underline{\phantom{}350\phantom{9}}\\\phantom{175)}1700\\\phantom{175)}\underline{\phantom{}1575\phantom{}}\\\phantom{175)9}125\\\end{array}$$

Since 125 is less than 175, stop the division. The reminder is 125. The topmost line 0029 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 29.

$$\text{Quotient: }29 \text{Reminder: }125$$

Factor

$$\frac{2 ^ {4} \cdot 13}{7} = 29\frac{5}{7} = 29.714285714285715$$