Solve 7536div314

$$7536 \div 314$$

Evaluate

$$24$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7536

$$\begin{array}{l}\phantom{314)}\phantom{1}\\314\overline{)7536}\\\end{array}$$

Since 7 is less than 314, use the next digit 5 from dividend 7536 and add 0 to the quotient

$$\begin{array}{l}\phantom{314)}0\phantom{2}\\314\overline{)7536}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 7536

$$\begin{array}{l}\phantom{314)}0\phantom{3}\\314\overline{)7536}\\\end{array}$$

Since 75 is less than 314, use the next digit 3 from dividend 7536 and add 0 to the quotient

$$\begin{array}{l}\phantom{314)}00\phantom{4}\\314\overline{)7536}\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 7536

$$\begin{array}{l}\phantom{314)}00\phantom{5}\\314\overline{)7536}\\\end{array}$$

Find closest multiple of 314 to 753. We see that 2 \times 314 = 628 is the nearest. Now subtract 628 from 753 to get reminder 125. Add 2 to quotient.

$$\begin{array}{l}\phantom{314)}002\phantom{6}\\314\overline{)7536}\\\phantom{314)}\underline{\phantom{}628\phantom{9}}\\\phantom{314)}125\\\end{array}$$

Use the 4^{th} digit 6 from dividend 7536

$$\begin{array}{l}\phantom{314)}002\phantom{7}\\314\overline{)7536}\\\phantom{314)}\underline{\phantom{}628\phantom{9}}\\\phantom{314)}1256\\\end{array}$$

Find closest multiple of 314 to 1256. We see that 4 \times 314 = 1256 is the nearest. Now subtract 1256 from 1256 to get reminder 0. Add 4 to quotient.

$$\begin{array}{l}\phantom{314)}0024\phantom{8}\\314\overline{)7536}\\\phantom{314)}\underline{\phantom{}628\phantom{9}}\\\phantom{314)}1256\\\phantom{314)}\underline{\phantom{}1256\phantom{}}\\\phantom{314)9999}0\\\end{array}$$

Since 0 is less than 314, 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

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