Solve 5328/72

$$\frac { 5328 } { 72 }$$

Evaluate

$$74$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5328

$$\begin{array}{l}\phantom{72)}\phantom{1}\\72\overline{)5328}\\\end{array}$$

Since 5 is less than 72, use the next digit 3 from dividend 5328 and add 0 to the quotient

$$\begin{array}{l}\phantom{72)}0\phantom{2}\\72\overline{)5328}\\\end{array}$$

Use the 2^{nd} digit 3 from dividend 5328

$$\begin{array}{l}\phantom{72)}0\phantom{3}\\72\overline{)5328}\\\end{array}$$

Since 53 is less than 72, use the next digit 2 from dividend 5328 and add 0 to the quotient

$$\begin{array}{l}\phantom{72)}00\phantom{4}\\72\overline{)5328}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 5328

$$\begin{array}{l}\phantom{72)}00\phantom{5}\\72\overline{)5328}\\\end{array}$$

Find closest multiple of 72 to 532. We see that 7 \times 72 = 504 is the nearest. Now subtract 504 from 532 to get reminder 28. Add 7 to quotient.

$$\begin{array}{l}\phantom{72)}007\phantom{6}\\72\overline{)5328}\\\phantom{72)}\underline{\phantom{}504\phantom{9}}\\\phantom{72)9}28\\\end{array}$$

Use the 4^{th} digit 8 from dividend 5328

$$\begin{array}{l}\phantom{72)}007\phantom{7}\\72\overline{)5328}\\\phantom{72)}\underline{\phantom{}504\phantom{9}}\\\phantom{72)9}288\\\end{array}$$

Find closest multiple of 72 to 288. We see that 4 \times 72 = 288 is the nearest. Now subtract 288 from 288 to get reminder 0. Add 4 to quotient.

$$\begin{array}{l}\phantom{72)}0074\phantom{8}\\72\overline{)5328}\\\phantom{72)}\underline{\phantom{}504\phantom{9}}\\\phantom{72)9}288\\\phantom{72)}\underline{\phantom{9}288\phantom{}}\\\phantom{72)9999}0\\\end{array}$$

Since 0 is less than 72, stop the division. The reminder is 0. The topmost line 0074 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 74.

$$\text{Quotient: }74 \text{Reminder: }0$$

Factor

$$2\times 37$$