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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 484 · 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. 1.47804 ÷ 97 =
  2. 2.390425 ÷ 997 =
  3. 3.89829 ÷ 97 =
  4. 4.10746 ÷ 88 =
  5. 5.424902 ÷ 998 =
  6. 6.6976 ÷ 8 =
  7. 7.2030 ÷ 8 =
  8. 8.520225 ÷ 989 =
  9. 9.705215 ÷ 989 =
  10. 10.36365 ÷ 88 =
  11. 11.9906 ÷ 97 =
  12. 12.96907 ÷ 89 =
  13. 13.22747 ÷ 96 =
  14. 14.746247 ÷ 997 =
  15. 15.622420 ÷ 988 =
  16. 16.20953 ÷ 96 =
  17. 17.77970 ÷ 897 =
  18. 18.206998 ÷ 989 =
  19. 19.26097 ÷ 98 =
  20. 20.319525 ÷ 998 =
  21. 21.61672 ÷ 89 =
  22. 22.777447 ÷ 897 =
  23. 23.5308 ÷ 8 =
  24. 24.883662 ÷ 897 =
  25. 25.24510 ÷ 96 =
  26. 26.16906 ÷ 988 =
  27. 27.47448 ÷ 88 =
  28. 28.97013 ÷ 89 =
  29. 29.827827 ÷ 988 =
  30. 30.364109 ÷ 988 =
  31. 31.818594 ÷ 998 =
  32. 32.78309 ÷ 89 =
  33. 33.72436 ÷ 96 =
  34. 34.95765 ÷ 89 =
  35. 35.1898 ÷ 97 =
  36. 36.28270 ÷ 89 =
  37. 37.73725 ÷ 97 =
  38. 38.485043 ÷ 988 =
  39. 39.51420 ÷ 88 =
  40. 40.884657 ÷ 897 =

Answer key

  1. 492 rem 80
  2. 391 rem 598
  3. 926 rem 7
  4. 122 rem 10
  5. 425 rem 752
  6. 872 rem 0
  7. 253 rem 6
  8. 526 rem 11
  9. 713 rem 58
  10. 413 rem 21
  11. 102 rem 12
  12. 1088 rem 75
  13. 236 rem 91
  14. 748 rem 491
  15. 629 rem 968
  16. 218 rem 25
  17. 86 rem 828
  18. 209 rem 297
  19. 266 rem 29
  20. 320 rem 165
  21. 692 rem 84
  22. 866 rem 645
  23. 663 rem 4
  24. 985 rem 117
  25. 255 rem 30
  26. 17 rem 110
  27. 539 rem 16
  28. 1090 rem 3
  29. 837 rem 871
  30. 368 rem 525
  31. 820 rem 234
  32. 879 rem 78
  33. 754 rem 52
  34. 1076 rem 1
  35. 19 rem 55
  36. 317 rem 57
  37. 760 rem 5
  38. 490 rem 923
  39. 584 rem 28
  40. 986 rem 215

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