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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 199 · 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. 1.50379 ÷ 988 =
  2. 2.82062 ÷ 98 =
  3. 3.770132 ÷ 897 =
  4. 4.459889 ÷ 998 =
  5. 5.716919 ÷ 988 =
  6. 6.40267 ÷ 98 =
  7. 7.633506 ÷ 989 =
  8. 8.76210 ÷ 97 =
  9. 9.93736 ÷ 98 =
  10. 10.892793 ÷ 988 =
  11. 11.13362 ÷ 89 =
  12. 12.764603 ÷ 988 =
  13. 13.298157 ÷ 989 =
  14. 14.44970 ÷ 97 =
  15. 15.23244 ÷ 88 =
  16. 16.65179 ÷ 88 =
  17. 17.67497 ÷ 89 =
  18. 18.31914 ÷ 88 =
  19. 19.3814 ÷ 8 =
  20. 20.81287 ÷ 98 =
  21. 21.80856 ÷ 96 =
  22. 22.35122 ÷ 98 =
  23. 23.96610 ÷ 96 =
  24. 24.18209 ÷ 998 =
  25. 25.73786 ÷ 988 =
  26. 26.39307 ÷ 89 =
  27. 27.95344 ÷ 96 =
  28. 28.60281 ÷ 89 =
  29. 29.22586 ÷ 88 =
  30. 30.861928 ÷ 997 =
  31. 31.50494 ÷ 97 =
  32. 32.21571 ÷ 96 =
  33. 33.224226 ÷ 989 =
  34. 34.266254 ÷ 997 =
  35. 35.846642 ÷ 997 =
  36. 36.291321 ÷ 988 =
  37. 37.64064 ÷ 988 =
  38. 38.830011 ÷ 998 =
  39. 39.44765 ÷ 89 =
  40. 40.138894 ÷ 997 =

Answer key

  1. 50 rem 979
  2. 837 rem 36
  3. 858 rem 506
  4. 460 rem 809
  5. 725 rem 619
  6. 410 rem 87
  7. 640 rem 546
  8. 785 rem 65
  9. 956 rem 48
  10. 903 rem 629
  11. 150 rem 12
  12. 773 rem 879
  13. 301 rem 468
  14. 463 rem 59
  15. 264 rem 12
  16. 740 rem 59
  17. 758 rem 35
  18. 362 rem 58
  19. 476 rem 6
  20. 829 rem 45
  21. 842 rem 24
  22. 358 rem 38
  23. 1006 rem 34
  24. 18 rem 245
  25. 74 rem 674
  26. 441 rem 58
  27. 993 rem 16
  28. 677 rem 28
  29. 256 rem 58
  30. 864 rem 520
  31. 520 rem 54
  32. 224 rem 67
  33. 226 rem 712
  34. 267 rem 55
  35. 849 rem 189
  36. 294 rem 849
  37. 64 rem 832
  38. 831 rem 673
  39. 502 rem 87
  40. 139 rem 311

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