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\begin{array}{l}\phantom{45)}\phantom{1}\\45\overline{)4407}\\\end{array}
Use the 1^{st} digit 4 from dividend 4407
\begin{array}{l}\phantom{45)}0\phantom{2}\\45\overline{)4407}\\\end{array}
Since 4 is less than 45, use the next digit 4 from dividend 4407 and add 0 to the quotient
\begin{array}{l}\phantom{45)}0\phantom{3}\\45\overline{)4407}\\\end{array}
Use the 2^{nd} digit 4 from dividend 4407
\begin{array}{l}\phantom{45)}00\phantom{4}\\45\overline{)4407}\\\end{array}
Since 44 is less than 45, use the next digit 0 from dividend 4407 and add 0 to the quotient
\begin{array}{l}\phantom{45)}00\phantom{5}\\45\overline{)4407}\\\end{array}
Use the 3^{rd} digit 0 from dividend 4407
\begin{array}{l}\phantom{45)}009\phantom{6}\\45\overline{)4407}\\\phantom{45)}\underline{\phantom{}405\phantom{9}}\\\phantom{45)9}35\\\end{array}
Find closest multiple of 45 to 440. We see that 9 \times 45 = 405 is the nearest. Now subtract 405 from 440 to get reminder 35. Add 9 to quotient.
\begin{array}{l}\phantom{45)}009\phantom{7}\\45\overline{)4407}\\\phantom{45)}\underline{\phantom{}405\phantom{9}}\\\phantom{45)9}357\\\end{array}
Use the 4^{th} digit 7 from dividend 4407
\begin{array}{l}\phantom{45)}0097\phantom{8}\\45\overline{)4407}\\\phantom{45)}\underline{\phantom{}405\phantom{9}}\\\phantom{45)9}357\\\phantom{45)}\underline{\phantom{9}315\phantom{}}\\\phantom{45)99}42\\\end{array}
Find closest multiple of 45 to 357. We see that 7 \times 45 = 315 is the nearest. Now subtract 315 from 357 to get reminder 42. Add 7 to quotient.
\text{Quotient: }97 \text{Reminder: }42
Since 42 is less than 45, stop the division. The reminder is 42. The topmost line 0097 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 97.