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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 821 · 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. 1.103899 ÷ 988 =
  2. 2.913031 ÷ 997 =
  3. 3.8792 ÷ 89 =
  4. 4.941139 ÷ 988 =
  5. 5.311425 ÷ 897 =
  6. 6.65653 ÷ 89 =
  7. 7.90698 ÷ 897 =
  8. 8.15559 ÷ 88 =
  9. 9.83362 ÷ 88 =
  10. 10.907994 ÷ 988 =
  11. 11.591027 ÷ 997 =
  12. 12.97048 ÷ 897 =
  13. 13.339187 ÷ 998 =
  14. 14.2311 ÷ 96 =
  15. 15.929262 ÷ 998 =
  16. 16.222878 ÷ 998 =
  17. 17.5857 ÷ 8 =
  18. 18.60274 ÷ 96 =
  19. 19.46047 ÷ 88 =
  20. 20.85015 ÷ 97 =
  21. 21.624103 ÷ 998 =
  22. 22.8607 ÷ 8 =
  23. 23.61589 ÷ 88 =
  24. 24.151940 ÷ 989 =
  25. 25.87704 ÷ 96 =
  26. 26.3880 ÷ 8 =
  27. 27.74663 ÷ 98 =
  28. 28.793233 ÷ 988 =
  29. 29.8960 ÷ 8 =
  30. 30.2613 ÷ 8 =
  31. 31.126820 ÷ 988 =
  32. 32.540202 ÷ 989 =
  33. 33.165139 ÷ 988 =
  34. 34.237088 ÷ 997 =
  35. 35.74793 ÷ 97 =
  36. 36.16586 ÷ 89 =
  37. 37.549756 ÷ 998 =
  38. 38.15748 ÷ 96 =
  39. 39.206949 ÷ 997 =
  40. 40.86208 ÷ 997 =

Answer key

  1. 105 rem 159
  2. 915 rem 776
  3. 98 rem 70
  4. 952 rem 563
  5. 347 rem 166
  6. 737 rem 60
  7. 101 rem 101
  8. 176 rem 71
  9. 947 rem 26
  10. 919 rem 22
  11. 592 rem 803
  12. 108 rem 172
  13. 339 rem 865
  14. 24 rem 7
  15. 931 rem 124
  16. 223 rem 324
  17. 732 rem 1
  18. 627 rem 82
  19. 523 rem 23
  20. 876 rem 43
  21. 625 rem 353
  22. 1075 rem 7
  23. 699 rem 77
  24. 153 rem 623
  25. 913 rem 56
  26. 485 rem 0
  27. 761 rem 85
  28. 802 rem 857
  29. 1120 rem 0
  30. 326 rem 5
  31. 128 rem 356
  32. 546 rem 208
  33. 167 rem 143
  34. 237 rem 799
  35. 771 rem 6
  36. 186 rem 32
  37. 550 rem 856
  38. 164 rem 4
  39. 207 rem 570
  40. 86 rem 466

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