Solve 7488/312

$$\frac{ 7488 }{ 312 }$$

Evaluate

$$24$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7488

$$\begin{array}{l}\phantom{312)}\phantom{1}\\312\overline{)7488}\\\end{array}$$

Since 7 is less than 312, use the next digit 4 from dividend 7488 and add 0 to the quotient

$$\begin{array}{l}\phantom{312)}0\phantom{2}\\312\overline{)7488}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 7488

$$\begin{array}{l}\phantom{312)}0\phantom{3}\\312\overline{)7488}\\\end{array}$$

Since 74 is less than 312, use the next digit 8 from dividend 7488 and add 0 to the quotient

$$\begin{array}{l}\phantom{312)}00\phantom{4}\\312\overline{)7488}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 7488

$$\begin{array}{l}\phantom{312)}00\phantom{5}\\312\overline{)7488}\\\end{array}$$

Find closest multiple of 312 to 748. We see that 2 \times 312 = 624 is the nearest. Now subtract 624 from 748 to get reminder 124. Add 2 to quotient.

$$\begin{array}{l}\phantom{312)}002\phantom{6}\\312\overline{)7488}\\\phantom{312)}\underline{\phantom{}624\phantom{9}}\\\phantom{312)}124\\\end{array}$$

Use the 4^{th} digit 8 from dividend 7488

$$\begin{array}{l}\phantom{312)}002\phantom{7}\\312\overline{)7488}\\\phantom{312)}\underline{\phantom{}624\phantom{9}}\\\phantom{312)}1248\\\end{array}$$

Find closest multiple of 312 to 1248. We see that 4 \times 312 = 1248 is the nearest. Now subtract 1248 from 1248 to get reminder 0. Add 4 to quotient.

$$\begin{array}{l}\phantom{312)}0024\phantom{8}\\312\overline{)7488}\\\phantom{312)}\underline{\phantom{}624\phantom{9}}\\\phantom{312)}1248\\\phantom{312)}\underline{\phantom{}1248\phantom{}}\\\phantom{312)9999}0\\\end{array}$$

Since 0 is less than 312, stop the division. The reminder is 0. The topmost line 0024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 24.

$$\text{Quotient: }24 \text{Reminder: }0$$

Factor

$$2^{3}\times 3$$