Solve 848/53

$$\frac { 848 } { 53 }$$

Evaluate

$$16$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 848

$$\begin{array}{l}\phantom{53)}\phantom{1}\\53\overline{)848}\\\end{array}$$

Since 8 is less than 53, use the next digit 4 from dividend 848 and add 0 to the quotient

$$\begin{array}{l}\phantom{53)}0\phantom{2}\\53\overline{)848}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 848

$$\begin{array}{l}\phantom{53)}0\phantom{3}\\53\overline{)848}\\\end{array}$$

Find closest multiple of 53 to 84. We see that 1 \times 53 = 53 is the nearest. Now subtract 53 from 84 to get reminder 31. Add 1 to quotient.

$$\begin{array}{l}\phantom{53)}01\phantom{4}\\53\overline{)848}\\\phantom{53)}\underline{\phantom{}53\phantom{9}}\\\phantom{53)}31\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 848

$$\begin{array}{l}\phantom{53)}01\phantom{5}\\53\overline{)848}\\\phantom{53)}\underline{\phantom{}53\phantom{9}}\\\phantom{53)}318\\\end{array}$$

Find closest multiple of 53 to 318. We see that 6 \times 53 = 318 is the nearest. Now subtract 318 from 318 to get reminder 0. Add 6 to quotient.

$$\begin{array}{l}\phantom{53)}016\phantom{6}\\53\overline{)848}\\\phantom{53)}\underline{\phantom{}53\phantom{9}}\\\phantom{53)}318\\\phantom{53)}\underline{\phantom{}318\phantom{}}\\\phantom{53)999}0\\\end{array}$$

Since 0 is less than 53, stop the division. The reminder is 0. The topmost line 016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.

$$\text{Quotient: }16 \text{Reminder: }0$$

Factor

$$2^{4}$$