Solve 1056div33

$$1056 \div 33$$

Evaluate

$$32$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1056

$$\begin{array}{l}\phantom{33)}\phantom{1}\\33\overline{)1056}\\\end{array}$$

Since 1 is less than 33, use the next digit 0 from dividend 1056 and add 0 to the quotient

$$\begin{array}{l}\phantom{33)}0\phantom{2}\\33\overline{)1056}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1056

$$\begin{array}{l}\phantom{33)}0\phantom{3}\\33\overline{)1056}\\\end{array}$$

Since 10 is less than 33, use the next digit 5 from dividend 1056 and add 0 to the quotient

$$\begin{array}{l}\phantom{33)}00\phantom{4}\\33\overline{)1056}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 1056

$$\begin{array}{l}\phantom{33)}00\phantom{5}\\33\overline{)1056}\\\end{array}$$

Find closest multiple of 33 to 105. We see that 3 \times 33 = 99 is the nearest. Now subtract 99 from 105 to get reminder 6. Add 3 to quotient.

$$\begin{array}{l}\phantom{33)}003\phantom{6}\\33\overline{)1056}\\\phantom{33)}\underline{\phantom{9}99\phantom{9}}\\\phantom{33)99}6\\\end{array}$$

Use the 4^{th} digit 6 from dividend 1056

$$\begin{array}{l}\phantom{33)}003\phantom{7}\\33\overline{)1056}\\\phantom{33)}\underline{\phantom{9}99\phantom{9}}\\\phantom{33)99}66\\\end{array}$$

Find closest multiple of 33 to 66. We see that 2 \times 33 = 66 is the nearest. Now subtract 66 from 66 to get reminder 0. Add 2 to quotient.

$$\begin{array}{l}\phantom{33)}0032\phantom{8}\\33\overline{)1056}\\\phantom{33)}\underline{\phantom{9}99\phantom{9}}\\\phantom{33)99}66\\\phantom{33)}\underline{\phantom{99}66\phantom{}}\\\phantom{33)9999}0\\\end{array}$$

Since 0 is less than 33, stop the division. The reminder is 0. The topmost line 0032 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 32.

$$\text{Quotient: }32 \text{Reminder: }0$$

Factor

$$2^{5}$$