Solve 206976/1056

$$\frac{ 206976 }{ 1056 }$$

Evaluate

$$196$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 206976

$$\begin{array}{l}\phantom{1056)}\phantom{1}\\1056\overline{)206976}\\\end{array}$$

Since 2 is less than 1056, use the next digit 0 from dividend 206976 and add 0 to the quotient

$$\begin{array}{l}\phantom{1056)}0\phantom{2}\\1056\overline{)206976}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 206976

$$\begin{array}{l}\phantom{1056)}0\phantom{3}\\1056\overline{)206976}\\\end{array}$$

Since 20 is less than 1056, use the next digit 6 from dividend 206976 and add 0 to the quotient

$$\begin{array}{l}\phantom{1056)}00\phantom{4}\\1056\overline{)206976}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 206976

$$\begin{array}{l}\phantom{1056)}00\phantom{5}\\1056\overline{)206976}\\\end{array}$$

Since 206 is less than 1056, use the next digit 9 from dividend 206976 and add 0 to the quotient

$$\begin{array}{l}\phantom{1056)}000\phantom{6}\\1056\overline{)206976}\\\end{array}$$

Use the 4^{th} digit 9 from dividend 206976

$$\begin{array}{l}\phantom{1056)}000\phantom{7}\\1056\overline{)206976}\\\end{array}$$

Find closest multiple of 1056 to 2069. We see that 1 \times 1056 = 1056 is the nearest. Now subtract 1056 from 2069 to get reminder 1013. Add 1 to quotient.

$$\begin{array}{l}\phantom{1056)}0001\phantom{8}\\1056\overline{)206976}\\\phantom{1056)}\underline{\phantom{}1056\phantom{99}}\\\phantom{1056)}1013\\\end{array}$$

Use the 5^{th} digit 7 from dividend 206976

$$\begin{array}{l}\phantom{1056)}0001\phantom{9}\\1056\overline{)206976}\\\phantom{1056)}\underline{\phantom{}1056\phantom{99}}\\\phantom{1056)}10137\\\end{array}$$

Find closest multiple of 1056 to 10137. We see that 9 \times 1056 = 9504 is the nearest. Now subtract 9504 from 10137 to get reminder 633. Add 9 to quotient.

$$\begin{array}{l}\phantom{1056)}00019\phantom{10}\\1056\overline{)206976}\\\phantom{1056)}\underline{\phantom{}1056\phantom{99}}\\\phantom{1056)}10137\\\phantom{1056)}\underline{\phantom{9}9504\phantom{9}}\\\phantom{1056)99}633\\\end{array}$$

Use the 6^{th} digit 6 from dividend 206976

$$\begin{array}{l}\phantom{1056)}00019\phantom{11}\\1056\overline{)206976}\\\phantom{1056)}\underline{\phantom{}1056\phantom{99}}\\\phantom{1056)}10137\\\phantom{1056)}\underline{\phantom{9}9504\phantom{9}}\\\phantom{1056)99}6336\\\end{array}$$

Find closest multiple of 1056 to 6336. We see that 6 \times 1056 = 6336 is the nearest. Now subtract 6336 from 6336 to get reminder 0. Add 6 to quotient.

$$\begin{array}{l}\phantom{1056)}000196\phantom{12}\\1056\overline{)206976}\\\phantom{1056)}\underline{\phantom{}1056\phantom{99}}\\\phantom{1056)}10137\\\phantom{1056)}\underline{\phantom{9}9504\phantom{9}}\\\phantom{1056)99}6336\\\phantom{1056)}\underline{\phantom{99}6336\phantom{}}\\\phantom{1056)999999}0\\\end{array}$$

Since 0 is less than 1056, stop the division. The reminder is 0. The topmost line 000196 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 196.

$$\text{Quotient: }196 \text{Reminder: }0$$

Factor

$$2^{2}\times 7^{2}$$