Solve 6962div59

$$6962 \div 59$$

Evaluate

$$118$$

Steps For Long Division Method

Use the 1^{st} digit 6 from dividend 6962

$$\begin{array}{l}\phantom{59)}\phantom{1}\\59\overline{)6962}\\\end{array}$$

Since 6 is less than 59, use the next digit 9 from dividend 6962 and add 0 to the quotient

$$\begin{array}{l}\phantom{59)}0\phantom{2}\\59\overline{)6962}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 6962

$$\begin{array}{l}\phantom{59)}0\phantom{3}\\59\overline{)6962}\\\end{array}$$

Find closest multiple of 59 to 69. We see that 1 \times 59 = 59 is the nearest. Now subtract 59 from 69 to get reminder 10. Add 1 to quotient.

$$\begin{array}{l}\phantom{59)}01\phantom{4}\\59\overline{)6962}\\\phantom{59)}\underline{\phantom{}59\phantom{99}}\\\phantom{59)}10\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 6962

$$\begin{array}{l}\phantom{59)}01\phantom{5}\\59\overline{)6962}\\\phantom{59)}\underline{\phantom{}59\phantom{99}}\\\phantom{59)}106\\\end{array}$$

Find closest multiple of 59 to 106. We see that 1 \times 59 = 59 is the nearest. Now subtract 59 from 106 to get reminder 47. Add 1 to quotient.

$$\begin{array}{l}\phantom{59)}011\phantom{6}\\59\overline{)6962}\\\phantom{59)}\underline{\phantom{}59\phantom{99}}\\\phantom{59)}106\\\phantom{59)}\underline{\phantom{9}59\phantom{9}}\\\phantom{59)9}47\\\end{array}$$

Use the 4^{th} digit 2 from dividend 6962

$$\begin{array}{l}\phantom{59)}011\phantom{7}\\59\overline{)6962}\\\phantom{59)}\underline{\phantom{}59\phantom{99}}\\\phantom{59)}106\\\phantom{59)}\underline{\phantom{9}59\phantom{9}}\\\phantom{59)9}472\\\end{array}$$

Find closest multiple of 59 to 472. We see that 8 \times 59 = 472 is the nearest. Now subtract 472 from 472 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{59)}0118\phantom{8}\\59\overline{)6962}\\\phantom{59)}\underline{\phantom{}59\phantom{99}}\\\phantom{59)}106\\\phantom{59)}\underline{\phantom{9}59\phantom{9}}\\\phantom{59)9}472\\\phantom{59)}\underline{\phantom{9}472\phantom{}}\\\phantom{59)9999}0\\\end{array}$$

Since 0 is less than 59, stop the division. The reminder is 0. The topmost line 0118 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 118.

$$\text{Quotient: }118 \text{Reminder: }0$$

Factor

$$2\times 59$$