Solve 95353:79

$$95353 : 79$$

Evaluate

$$1207$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 95353

$$\begin{array}{l}\phantom{79)}\phantom{1}\\79\overline{)95353}\\\end{array}$$

Since 9 is less than 79, use the next digit 5 from dividend 95353 and add 0 to the quotient

$$\begin{array}{l}\phantom{79)}0\phantom{2}\\79\overline{)95353}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 95353

$$\begin{array}{l}\phantom{79)}0\phantom{3}\\79\overline{)95353}\\\end{array}$$

Find closest multiple of 79 to 95. We see that 1 \times 79 = 79 is the nearest. Now subtract 79 from 95 to get reminder 16. Add 1 to quotient.

$$\begin{array}{l}\phantom{79)}01\phantom{4}\\79\overline{)95353}\\\phantom{79)}\underline{\phantom{}79\phantom{999}}\\\phantom{79)}16\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 95353

$$\begin{array}{l}\phantom{79)}01\phantom{5}\\79\overline{)95353}\\\phantom{79)}\underline{\phantom{}79\phantom{999}}\\\phantom{79)}163\\\end{array}$$

Find closest multiple of 79 to 163. We see that 2 \times 79 = 158 is the nearest. Now subtract 158 from 163 to get reminder 5. Add 2 to quotient.

$$\begin{array}{l}\phantom{79)}012\phantom{6}\\79\overline{)95353}\\\phantom{79)}\underline{\phantom{}79\phantom{999}}\\\phantom{79)}163\\\phantom{79)}\underline{\phantom{}158\phantom{99}}\\\phantom{79)99}5\\\end{array}$$

Use the 4^{th} digit 5 from dividend 95353

$$\begin{array}{l}\phantom{79)}012\phantom{7}\\79\overline{)95353}\\\phantom{79)}\underline{\phantom{}79\phantom{999}}\\\phantom{79)}163\\\phantom{79)}\underline{\phantom{}158\phantom{99}}\\\phantom{79)99}55\\\end{array}$$

Since 55 is less than 79, use the next digit 3 from dividend 95353 and add 0 to the quotient

$$\begin{array}{l}\phantom{79)}0120\phantom{8}\\79\overline{)95353}\\\phantom{79)}\underline{\phantom{}79\phantom{999}}\\\phantom{79)}163\\\phantom{79)}\underline{\phantom{}158\phantom{99}}\\\phantom{79)99}55\\\end{array}$$

Use the 5^{th} digit 3 from dividend 95353

$$\begin{array}{l}\phantom{79)}0120\phantom{9}\\79\overline{)95353}\\\phantom{79)}\underline{\phantom{}79\phantom{999}}\\\phantom{79)}163\\\phantom{79)}\underline{\phantom{}158\phantom{99}}\\\phantom{79)99}553\\\end{array}$$

Find closest multiple of 79 to 553. We see that 7 \times 79 = 553 is the nearest. Now subtract 553 from 553 to get reminder 0. Add 7 to quotient.

$$\begin{array}{l}\phantom{79)}01207\phantom{10}\\79\overline{)95353}\\\phantom{79)}\underline{\phantom{}79\phantom{999}}\\\phantom{79)}163\\\phantom{79)}\underline{\phantom{}158\phantom{99}}\\\phantom{79)99}553\\\phantom{79)}\underline{\phantom{99}553\phantom{}}\\\phantom{79)99999}0\\\end{array}$$

Since 0 is less than 79, stop the division. The reminder is 0. The topmost line 01207 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1207.

$$\text{Quotient: }1207 \text{Reminder: }0$$

Factor

$$17\times 71$$