Solve 1200/21

$$\frac { 1200 } { 21 }$$

Evaluate

$$\frac{400}{7}\approx 57.142857143$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1200

$$\begin{array}{l}\phantom{21)}\phantom{1}\\21\overline{)1200}\\\end{array}$$

Since 1 is less than 21, use the next digit 2 from dividend 1200 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}0\phantom{2}\\21\overline{)1200}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 1200

$$\begin{array}{l}\phantom{21)}0\phantom{3}\\21\overline{)1200}\\\end{array}$$

Since 12 is less than 21, use the next digit 0 from dividend 1200 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}00\phantom{4}\\21\overline{)1200}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1200

$$\begin{array}{l}\phantom{21)}00\phantom{5}\\21\overline{)1200}\\\end{array}$$

Find closest multiple of 21 to 120. We see that 5 \times 21 = 105 is the nearest. Now subtract 105 from 120 to get reminder 15. Add 5 to quotient.

$$\begin{array}{l}\phantom{21)}005\phantom{6}\\21\overline{)1200}\\\phantom{21)}\underline{\phantom{}105\phantom{9}}\\\phantom{21)9}15\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1200

$$\begin{array}{l}\phantom{21)}005\phantom{7}\\21\overline{)1200}\\\phantom{21)}\underline{\phantom{}105\phantom{9}}\\\phantom{21)9}150\\\end{array}$$

Find closest multiple of 21 to 150. We see that 7 \times 21 = 147 is the nearest. Now subtract 147 from 150 to get reminder 3. Add 7 to quotient.

$$\begin{array}{l}\phantom{21)}0057\phantom{8}\\21\overline{)1200}\\\phantom{21)}\underline{\phantom{}105\phantom{9}}\\\phantom{21)9}150\\\phantom{21)}\underline{\phantom{9}147\phantom{}}\\\phantom{21)999}3\\\end{array}$$

Since 3 is less than 21, stop the division. The reminder is 3. The topmost line 0057 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 57.

$$\text{Quotient: }57 \text{Reminder: }3$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {2}}{7} = 57\frac{1}{7} = 57.142857142857146$$