Solve 2197div13

$$2197 \div 13$$

Evaluate

$$169$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2197

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)2197}\\\end{array}$$

Since 2 is less than 13, use the next digit 1 from dividend 2197 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)2197}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 2197

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)2197}\\\end{array}$$

Find closest multiple of 13 to 21. We see that 1 \times 13 = 13 is the nearest. Now subtract 13 from 21 to get reminder 8. Add 1 to quotient.

$$\begin{array}{l}\phantom{13)}01\phantom{4}\\13\overline{)2197}\\\phantom{13)}\underline{\phantom{}13\phantom{99}}\\\phantom{13)9}8\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 2197

$$\begin{array}{l}\phantom{13)}01\phantom{5}\\13\overline{)2197}\\\phantom{13)}\underline{\phantom{}13\phantom{99}}\\\phantom{13)9}89\\\end{array}$$

Find closest multiple of 13 to 89. We see that 6 \times 13 = 78 is the nearest. Now subtract 78 from 89 to get reminder 11. Add 6 to quotient.

$$\begin{array}{l}\phantom{13)}016\phantom{6}\\13\overline{)2197}\\\phantom{13)}\underline{\phantom{}13\phantom{99}}\\\phantom{13)9}89\\\phantom{13)}\underline{\phantom{9}78\phantom{9}}\\\phantom{13)9}11\\\end{array}$$

Use the 4^{th} digit 7 from dividend 2197

$$\begin{array}{l}\phantom{13)}016\phantom{7}\\13\overline{)2197}\\\phantom{13)}\underline{\phantom{}13\phantom{99}}\\\phantom{13)9}89\\\phantom{13)}\underline{\phantom{9}78\phantom{9}}\\\phantom{13)9}117\\\end{array}$$

Find closest multiple of 13 to 117. We see that 9 \times 13 = 117 is the nearest. Now subtract 117 from 117 to get reminder 0. Add 9 to quotient.

$$\begin{array}{l}\phantom{13)}0169\phantom{8}\\13\overline{)2197}\\\phantom{13)}\underline{\phantom{}13\phantom{99}}\\\phantom{13)9}89\\\phantom{13)}\underline{\phantom{9}78\phantom{9}}\\\phantom{13)9}117\\\phantom{13)}\underline{\phantom{9}117\phantom{}}\\\phantom{13)9999}0\\\end{array}$$

Since 0 is less than 13, stop the division. The reminder is 0. The topmost line 0169 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 169.

$$\text{Quotient: }169 \text{Reminder: }0$$

Factor

$$13^{2}$$