Solve 1152/21

$$\frac{ 1152 }{ 21 }$$

Evaluate

$$\frac{384}{7}\approx 54.857142857$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1152

$$\begin{array}{l}\phantom{21)}\phantom{1}\\21\overline{)1152}\\\end{array}$$

Since 1 is less than 21, use the next digit 1 from dividend 1152 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}0\phantom{2}\\21\overline{)1152}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 1152

$$\begin{array}{l}\phantom{21)}0\phantom{3}\\21\overline{)1152}\\\end{array}$$

Since 11 is less than 21, use the next digit 5 from dividend 1152 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}00\phantom{4}\\21\overline{)1152}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 1152

$$\begin{array}{l}\phantom{21)}00\phantom{5}\\21\overline{)1152}\\\end{array}$$

Find closest multiple of 21 to 115. We see that 5 \times 21 = 105 is the nearest. Now subtract 105 from 115 to get reminder 10. Add 5 to quotient.

$$\begin{array}{l}\phantom{21)}005\phantom{6}\\21\overline{)1152}\\\phantom{21)}\underline{\phantom{}105\phantom{9}}\\\phantom{21)9}10\\\end{array}$$

Use the 4^{th} digit 2 from dividend 1152

$$\begin{array}{l}\phantom{21)}005\phantom{7}\\21\overline{)1152}\\\phantom{21)}\underline{\phantom{}105\phantom{9}}\\\phantom{21)9}102\\\end{array}$$

Find closest multiple of 21 to 102. We see that 4 \times 21 = 84 is the nearest. Now subtract 84 from 102 to get reminder 18. Add 4 to quotient.

$$\begin{array}{l}\phantom{21)}0054\phantom{8}\\21\overline{)1152}\\\phantom{21)}\underline{\phantom{}105\phantom{9}}\\\phantom{21)9}102\\\phantom{21)}\underline{\phantom{99}84\phantom{}}\\\phantom{21)99}18\\\end{array}$$

Since 18 is less than 21, stop the division. The reminder is 18. The topmost line 0054 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 54.

$$\text{Quotient: }54 \text{Reminder: }18$$

Factor

$$\frac{2 ^ {7} \cdot 3}{7} = 54\frac{6}{7} = 54.857142857142854$$