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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 312 · 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. 1.2898 ÷ 8 =
  2. 2.484751 ÷ 998 =
  3. 3.158961 ÷ 988 =
  4. 4.9925 ÷ 8 =
  5. 5.90039 ÷ 98 =
  6. 6.150570 ÷ 997 =
  7. 7.65656 ÷ 88 =
  8. 8.94946 ÷ 96 =
  9. 9.723106 ÷ 897 =
  10. 10.289197 ÷ 897 =
  11. 11.672861 ÷ 988 =
  12. 12.306158 ÷ 998 =
  13. 13.56828 ÷ 96 =
  14. 14.318707 ÷ 989 =
  15. 15.127262 ÷ 988 =
  16. 16.75674 ÷ 88 =
  17. 17.4865 ÷ 8 =
  18. 18.27621 ÷ 98 =
  19. 19.3431 ÷ 89 =
  20. 20.37173 ÷ 98 =
  21. 21.411123 ÷ 988 =
  22. 22.192440 ÷ 897 =
  23. 23.574188 ÷ 988 =
  24. 24.144967 ÷ 897 =
  25. 25.823002 ÷ 997 =
  26. 26.99643 ÷ 96 =
  27. 27.167131 ÷ 997 =
  28. 28.5156 ÷ 97 =
  29. 29.868793 ÷ 998 =
  30. 30.834744 ÷ 998 =
  31. 31.62983 ÷ 89 =
  32. 32.789785 ÷ 988 =
  33. 33.97961 ÷ 97 =
  34. 34.7215 ÷ 97 =
  35. 35.689245 ÷ 897 =
  36. 36.55470 ÷ 89 =
  37. 37.400176 ÷ 988 =
  38. 38.947231 ÷ 988 =
  39. 39.92752 ÷ 98 =
  40. 40.82572 ÷ 98 =

Answer key

  1. 362 rem 2
  2. 485 rem 721
  3. 160 rem 881
  4. 1240 rem 5
  5. 918 rem 75
  6. 151 rem 23
  7. 746 rem 8
  8. 989 rem 2
  9. 806 rem 124
  10. 322 rem 363
  11. 681 rem 33
  12. 306 rem 770
  13. 591 rem 92
  14. 322 rem 249
  15. 128 rem 798
  16. 859 rem 82
  17. 608 rem 1
  18. 281 rem 83
  19. 38 rem 49
  20. 379 rem 31
  21. 416 rem 115
  22. 214 rem 482
  23. 581 rem 160
  24. 161 rem 550
  25. 825 rem 477
  26. 1037 rem 91
  27. 167 rem 632
  28. 53 rem 15
  29. 870 rem 533
  30. 836 rem 416
  31. 707 rem 60
  32. 799 rem 373
  33. 1009 rem 88
  34. 74 rem 37
  35. 768 rem 349
  36. 623 rem 23
  37. 405 rem 36
  38. 958 rem 727
  39. 946 rem 44
  40. 842 rem 56

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