Solve 2952/24

$$\frac { 2952 } { 24 }$$

Evaluate

$$123$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2952

$$\begin{array}{l}\phantom{24)}\phantom{1}\\24\overline{)2952}\\\end{array}$$

Since 2 is less than 24, use the next digit 9 from dividend 2952 and add 0 to the quotient

$$\begin{array}{l}\phantom{24)}0\phantom{2}\\24\overline{)2952}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 2952

$$\begin{array}{l}\phantom{24)}0\phantom{3}\\24\overline{)2952}\\\end{array}$$

Find closest multiple of 24 to 29. We see that 1 \times 24 = 24 is the nearest. Now subtract 24 from 29 to get reminder 5. Add 1 to quotient.

$$\begin{array}{l}\phantom{24)}01\phantom{4}\\24\overline{)2952}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}5\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 2952

$$\begin{array}{l}\phantom{24)}01\phantom{5}\\24\overline{)2952}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}55\\\end{array}$$

Find closest multiple of 24 to 55. We see that 2 \times 24 = 48 is the nearest. Now subtract 48 from 55 to get reminder 7. Add 2 to quotient.

$$\begin{array}{l}\phantom{24)}012\phantom{6}\\24\overline{)2952}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}55\\\phantom{24)}\underline{\phantom{9}48\phantom{9}}\\\phantom{24)99}7\\\end{array}$$

Use the 4^{th} digit 2 from dividend 2952

$$\begin{array}{l}\phantom{24)}012\phantom{7}\\24\overline{)2952}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}55\\\phantom{24)}\underline{\phantom{9}48\phantom{9}}\\\phantom{24)99}72\\\end{array}$$

Find closest multiple of 24 to 72. We see that 3 \times 24 = 72 is the nearest. Now subtract 72 from 72 to get reminder 0. Add 3 to quotient.

$$\begin{array}{l}\phantom{24)}0123\phantom{8}\\24\overline{)2952}\\\phantom{24)}\underline{\phantom{}24\phantom{99}}\\\phantom{24)9}55\\\phantom{24)}\underline{\phantom{9}48\phantom{9}}\\\phantom{24)99}72\\\phantom{24)}\underline{\phantom{99}72\phantom{}}\\\phantom{24)9999}0\\\end{array}$$

Since 0 is less than 24, stop the division. The reminder is 0. The topmost line 0123 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 123.

$$\text{Quotient: }123 \text{Reminder: }0$$

Factor

$$3\times 41$$