Solve 1001:13

$$1001 : 13$$

Evaluate

$$77$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1001

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)1001}\\\end{array}$$

Since 1 is less than 13, use the next digit 0 from dividend 1001 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)1001}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1001

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)1001}\\\end{array}$$

Since 10 is less than 13, use the next digit 0 from dividend 1001 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}00\phantom{4}\\13\overline{)1001}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1001

$$\begin{array}{l}\phantom{13)}00\phantom{5}\\13\overline{)1001}\\\end{array}$$

Find closest multiple of 13 to 100. We see that 7 \times 13 = 91 is the nearest. Now subtract 91 from 100 to get reminder 9. Add 7 to quotient.

$$\begin{array}{l}\phantom{13)}007\phantom{6}\\13\overline{)1001}\\\phantom{13)}\underline{\phantom{9}91\phantom{9}}\\\phantom{13)99}9\\\end{array}$$

Use the 4^{th} digit 1 from dividend 1001

$$\begin{array}{l}\phantom{13)}007\phantom{7}\\13\overline{)1001}\\\phantom{13)}\underline{\phantom{9}91\phantom{9}}\\\phantom{13)99}91\\\end{array}$$

Find closest multiple of 13 to 91. We see that 7 \times 13 = 91 is the nearest. Now subtract 91 from 91 to get reminder 0. Add 7 to quotient.

$$\begin{array}{l}\phantom{13)}0077\phantom{8}\\13\overline{)1001}\\\phantom{13)}\underline{\phantom{9}91\phantom{9}}\\\phantom{13)99}91\\\phantom{13)}\underline{\phantom{99}91\phantom{}}\\\phantom{13)9999}0\\\end{array}$$

Since 0 is less than 13, stop the division. The reminder is 0. The topmost line 0077 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 77.

$$\text{Quotient: }77 \text{Reminder: }0$$

Factor

$$7\times 11$$