Solve 1586div13

$$1586 \div 13$$

Evaluate

$$122$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1586

$$\begin{array}{l}\phantom{13)}\phantom{1}\\13\overline{)1586}\\\end{array}$$

Since 1 is less than 13, use the next digit 5 from dividend 1586 and add 0 to the quotient

$$\begin{array}{l}\phantom{13)}0\phantom{2}\\13\overline{)1586}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 1586

$$\begin{array}{l}\phantom{13)}0\phantom{3}\\13\overline{)1586}\\\end{array}$$

Find closest multiple of 13 to 15. We see that 1 \times 13 = 13 is the nearest. Now subtract 13 from 15 to get reminder 2. Add 1 to quotient.

$$\begin{array}{l}\phantom{13)}01\phantom{4}\\13\overline{)1586}\\\phantom{13)}\underline{\phantom{}13\phantom{99}}\\\phantom{13)9}2\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 1586

$$\begin{array}{l}\phantom{13)}01\phantom{5}\\13\overline{)1586}\\\phantom{13)}\underline{\phantom{}13\phantom{99}}\\\phantom{13)9}28\\\end{array}$$

Find closest multiple of 13 to 28. We see that 2 \times 13 = 26 is the nearest. Now subtract 26 from 28 to get reminder 2. Add 2 to quotient.

$$\begin{array}{l}\phantom{13)}012\phantom{6}\\13\overline{)1586}\\\phantom{13)}\underline{\phantom{}13\phantom{99}}\\\phantom{13)9}28\\\phantom{13)}\underline{\phantom{9}26\phantom{9}}\\\phantom{13)99}2\\\end{array}$$

Use the 4^{th} digit 6 from dividend 1586

$$\begin{array}{l}\phantom{13)}012\phantom{7}\\13\overline{)1586}\\\phantom{13)}\underline{\phantom{}13\phantom{99}}\\\phantom{13)9}28\\\phantom{13)}\underline{\phantom{9}26\phantom{9}}\\\phantom{13)99}26\\\end{array}$$

Find closest multiple of 13 to 26. We see that 2 \times 13 = 26 is the nearest. Now subtract 26 from 26 to get reminder 0. Add 2 to quotient.

$$\begin{array}{l}\phantom{13)}0122\phantom{8}\\13\overline{)1586}\\\phantom{13)}\underline{\phantom{}13\phantom{99}}\\\phantom{13)9}28\\\phantom{13)}\underline{\phantom{9}26\phantom{9}}\\\phantom{13)99}26\\\phantom{13)}\underline{\phantom{99}26\phantom{}}\\\phantom{13)9999}0\\\end{array}$$

Since 0 is less than 13, stop the division. The reminder is 0. The topmost line 0122 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 122.

$$\text{Quotient: }122 \text{Reminder: }0$$

Factor

$$2\times 61$$