Solve 5643:11=

$$5643 : 11 =$$

Evaluate

$$513$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5643

$$\begin{array}{l}\phantom{11)}\phantom{1}\\11\overline{)5643}\\\end{array}$$

Since 5 is less than 11, use the next digit 6 from dividend 5643 and add 0 to the quotient

$$\begin{array}{l}\phantom{11)}0\phantom{2}\\11\overline{)5643}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 5643

$$\begin{array}{l}\phantom{11)}0\phantom{3}\\11\overline{)5643}\\\end{array}$$

Find closest multiple of 11 to 56. We see that 5 \times 11 = 55 is the nearest. Now subtract 55 from 56 to get reminder 1. Add 5 to quotient.

$$\begin{array}{l}\phantom{11)}05\phantom{4}\\11\overline{)5643}\\\phantom{11)}\underline{\phantom{}55\phantom{99}}\\\phantom{11)9}1\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 5643

$$\begin{array}{l}\phantom{11)}05\phantom{5}\\11\overline{)5643}\\\phantom{11)}\underline{\phantom{}55\phantom{99}}\\\phantom{11)9}14\\\end{array}$$

Find closest multiple of 11 to 14. We see that 1 \times 11 = 11 is the nearest. Now subtract 11 from 14 to get reminder 3. Add 1 to quotient.

$$\begin{array}{l}\phantom{11)}051\phantom{6}\\11\overline{)5643}\\\phantom{11)}\underline{\phantom{}55\phantom{99}}\\\phantom{11)9}14\\\phantom{11)}\underline{\phantom{9}11\phantom{9}}\\\phantom{11)99}3\\\end{array}$$

Use the 4^{th} digit 3 from dividend 5643

$$\begin{array}{l}\phantom{11)}051\phantom{7}\\11\overline{)5643}\\\phantom{11)}\underline{\phantom{}55\phantom{99}}\\\phantom{11)9}14\\\phantom{11)}\underline{\phantom{9}11\phantom{9}}\\\phantom{11)99}33\\\end{array}$$

Find closest multiple of 11 to 33. We see that 3 \times 11 = 33 is the nearest. Now subtract 33 from 33 to get reminder 0. Add 3 to quotient.

$$\begin{array}{l}\phantom{11)}0513\phantom{8}\\11\overline{)5643}\\\phantom{11)}\underline{\phantom{}55\phantom{99}}\\\phantom{11)9}14\\\phantom{11)}\underline{\phantom{9}11\phantom{9}}\\\phantom{11)99}33\\\phantom{11)}\underline{\phantom{99}33\phantom{}}\\\phantom{11)9999}0\\\end{array}$$

Since 0 is less than 11, stop the division. The reminder is 0. The topmost line 0513 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 513.

$$\text{Quotient: }513 \text{Reminder: }0$$

Factor

$$3^{3}\times 19$$