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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 41 · 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. 1.2619 ÷ 8 =
  2. 2.45134 ÷ 97 =
  3. 3.75119 ÷ 89 =
  4. 4.24424 ÷ 989 =
  5. 5.32171 ÷ 88 =
  6. 6.664116 ÷ 998 =
  7. 7.36697 ÷ 89 =
  8. 8.996515 ÷ 989 =
  9. 9.823783 ÷ 997 =
  10. 10.60706 ÷ 988 =
  11. 11.266463 ÷ 988 =
  12. 12.62248 ÷ 97 =
  13. 13.981185 ÷ 897 =
  14. 14.98563 ÷ 97 =
  15. 15.62768 ÷ 97 =
  16. 16.87554 ÷ 98 =
  17. 17.28282 ÷ 89 =
  18. 18.20664 ÷ 97 =
  19. 19.49867 ÷ 97 =
  20. 20.45924 ÷ 88 =
  21. 21.1071 ÷ 8 =
  22. 22.73697 ÷ 98 =
  23. 23.74061 ÷ 89 =
  24. 24.235237 ÷ 989 =
  25. 25.69975 ÷ 98 =
  26. 26.5550 ÷ 8 =
  27. 27.295501 ÷ 998 =
  28. 28.952034 ÷ 997 =
  29. 29.718561 ÷ 989 =
  30. 30.896905 ÷ 989 =
  31. 31.9048 ÷ 89 =
  32. 32.342105 ÷ 998 =
  33. 33.481395 ÷ 988 =
  34. 34.538018 ÷ 998 =
  35. 35.265021 ÷ 998 =
  36. 36.944102 ÷ 988 =
  37. 37.376825 ÷ 998 =
  38. 38.53935 ÷ 988 =
  39. 39.44680 ÷ 89 =
  40. 40.2171 ÷ 8 =

Answer key

  1. 327 rem 3
  2. 465 rem 29
  3. 844 rem 3
  4. 24 rem 688
  5. 365 rem 51
  6. 665 rem 446
  7. 412 rem 29
  8. 1007 rem 592
  9. 826 rem 261
  10. 61 rem 438
  11. 269 rem 691
  12. 641 rem 71
  13. 1093 rem 764
  14. 1016 rem 11
  15. 647 rem 9
  16. 893 rem 40
  17. 317 rem 69
  18. 213 rem 3
  19. 514 rem 9
  20. 521 rem 76
  21. 133 rem 7
  22. 752 rem 1
  23. 832 rem 13
  24. 237 rem 844
  25. 714 rem 3
  26. 693 rem 6
  27. 296 rem 93
  28. 954 rem 896
  29. 726 rem 547
  30. 906 rem 871
  31. 101 rem 59
  32. 342 rem 789
  33. 487 rem 239
  34. 539 rem 96
  35. 265 rem 551
  36. 955 rem 562
  37. 377 rem 579
  38. 54 rem 583
  39. 502 rem 2
  40. 271 rem 3

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