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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 58 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.14443 ÷ 89 =
  2. 2.1970 ÷ 96 =
  3. 3.153317 ÷ 998 =
  4. 4.9677 ÷ 96 =
  5. 5.47495 ÷ 88 =
  6. 6.981772 ÷ 988 =
  7. 7.234710 ÷ 998 =
  8. 8.12289 ÷ 97 =
  9. 9.120504 ÷ 897 =
  10. 10.13345 ÷ 88 =
  11. 11.77072 ÷ 989 =
  12. 12.58789 ÷ 89 =
  13. 13.243297 ÷ 988 =
  14. 14.85410 ÷ 97 =
  15. 15.949484 ÷ 897 =
  16. 16.63321 ÷ 88 =
  17. 17.722928 ÷ 988 =
  18. 18.711863 ÷ 997 =
  19. 19.3511 ÷ 8 =
  20. 20.523192 ÷ 988 =
  21. 21.97981 ÷ 89 =
  22. 22.79211 ÷ 97 =
  23. 23.30077 ÷ 96 =
  24. 24.789640 ÷ 897 =
  25. 25.41170 ÷ 89 =
  26. 26.977620 ÷ 998 =
  27. 27.78923 ÷ 96 =
  28. 28.205506 ÷ 998 =
  29. 29.51728 ÷ 997 =
  30. 30.725692 ÷ 988 =
  31. 31.958866 ÷ 897 =
  32. 32.85243 ÷ 96 =
  33. 33.76783 ÷ 96 =
  34. 34.9699 ÷ 8 =
  35. 35.2262 ÷ 8 =
  36. 36.488262 ÷ 997 =
  37. 37.297853 ÷ 998 =
  38. 38.1669 ÷ 8 =
  39. 39.13081 ÷ 97 =
  40. 40.22042 ÷ 96 =

Answer key

  1. 162 rem 25
  2. 20 rem 50
  3. 153 rem 623
  4. 100 rem 77
  5. 539 rem 63
  6. 993 rem 688
  7. 235 rem 180
  8. 126 rem 67
  9. 134 rem 306
  10. 151 rem 57
  11. 77 rem 919
  12. 660 rem 49
  13. 246 rem 249
  14. 880 rem 50
  15. 1058 rem 458
  16. 719 rem 49
  17. 731 rem 700
  18. 714 rem 5
  19. 438 rem 7
  20. 529 rem 540
  21. 1100 rem 81
  22. 816 rem 59
  23. 313 rem 29
  24. 880 rem 280
  25. 462 rem 52
  26. 979 rem 578
  27. 822 rem 11
  28. 205 rem 916
  29. 51 rem 881
  30. 734 rem 500
  31. 1068 rem 870
  32. 887 rem 91
  33. 799 rem 79
  34. 1212 rem 3
  35. 282 rem 6
  36. 489 rem 729
  37. 298 rem 449
  38. 208 rem 5
  39. 134 rem 83
  40. 229 rem 58

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