Solve 7200/42

$$\frac{ 7200 }{ 42 }$$

Evaluate

$$\frac{1200}{7}\approx 171.428571429$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7200

$$\begin{array}{l}\phantom{42)}\phantom{1}\\42\overline{)7200}\\\end{array}$$

Since 7 is less than 42, use the next digit 2 from dividend 7200 and add 0 to the quotient

$$\begin{array}{l}\phantom{42)}0\phantom{2}\\42\overline{)7200}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 7200

$$\begin{array}{l}\phantom{42)}0\phantom{3}\\42\overline{)7200}\\\end{array}$$

Find closest multiple of 42 to 72. We see that 1 \times 42 = 42 is the nearest. Now subtract 42 from 72 to get reminder 30. Add 1 to quotient.

$$\begin{array}{l}\phantom{42)}01\phantom{4}\\42\overline{)7200}\\\phantom{42)}\underline{\phantom{}42\phantom{99}}\\\phantom{42)}30\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 7200

$$\begin{array}{l}\phantom{42)}01\phantom{5}\\42\overline{)7200}\\\phantom{42)}\underline{\phantom{}42\phantom{99}}\\\phantom{42)}300\\\end{array}$$

Find closest multiple of 42 to 300. We see that 7 \times 42 = 294 is the nearest. Now subtract 294 from 300 to get reminder 6. Add 7 to quotient.

$$\begin{array}{l}\phantom{42)}017\phantom{6}\\42\overline{)7200}\\\phantom{42)}\underline{\phantom{}42\phantom{99}}\\\phantom{42)}300\\\phantom{42)}\underline{\phantom{}294\phantom{9}}\\\phantom{42)99}6\\\end{array}$$

Use the 4^{th} digit 0 from dividend 7200

$$\begin{array}{l}\phantom{42)}017\phantom{7}\\42\overline{)7200}\\\phantom{42)}\underline{\phantom{}42\phantom{99}}\\\phantom{42)}300\\\phantom{42)}\underline{\phantom{}294\phantom{9}}\\\phantom{42)99}60\\\end{array}$$

Find closest multiple of 42 to 60. We see that 1 \times 42 = 42 is the nearest. Now subtract 42 from 60 to get reminder 18. Add 1 to quotient.

$$\begin{array}{l}\phantom{42)}0171\phantom{8}\\42\overline{)7200}\\\phantom{42)}\underline{\phantom{}42\phantom{99}}\\\phantom{42)}300\\\phantom{42)}\underline{\phantom{}294\phantom{9}}\\\phantom{42)99}60\\\phantom{42)}\underline{\phantom{99}42\phantom{}}\\\phantom{42)99}18\\\end{array}$$

Since 18 is less than 42, stop the division. The reminder is 18. The topmost line 0171 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 171.

$$\text{Quotient: }171 \text{Reminder: }18$$

Factor

$$\frac{2 ^ {4} \cdot 3 \cdot 5 ^ {2}}{7} = 171\frac{3}{7} = 171.42857142857142$$