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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 961 · 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. 1.781480 ÷ 988 =
  2. 2.19314 ÷ 98 =
  3. 3.89076 ÷ 88 =
  4. 4.970686 ÷ 997 =
  5. 5.810 ÷ 8 =
  6. 6.731097 ÷ 989 =
  7. 7.390006 ÷ 997 =
  8. 8.63515 ÷ 97 =
  9. 9.83573 ÷ 88 =
  10. 10.209454 ÷ 997 =
  11. 11.16681 ÷ 98 =
  12. 12.185242 ÷ 998 =
  13. 13.255 ÷ 8 =
  14. 14.89261 ÷ 96 =
  15. 15.72845 ÷ 897 =
  16. 16.621254 ÷ 988 =
  17. 17.80248 ÷ 96 =
  18. 18.4874 ÷ 89 =
  19. 19.112586 ÷ 997 =
  20. 20.83746 ÷ 97 =
  21. 21.746761 ÷ 997 =
  22. 22.46485 ÷ 96 =
  23. 23.21368 ÷ 88 =
  24. 24.62069 ÷ 96 =
  25. 25.413613 ÷ 988 =
  26. 26.1550 ÷ 8 =
  27. 27.61932 ÷ 98 =
  28. 28.897909 ÷ 897 =
  29. 29.583617 ÷ 989 =
  30. 30.664157 ÷ 997 =
  31. 31.759612 ÷ 998 =
  32. 32.630895 ÷ 897 =
  33. 33.563518 ÷ 989 =
  34. 34.52241 ÷ 96 =
  35. 35.4157 ÷ 98 =
  36. 36.4869 ÷ 8 =
  37. 37.960660 ÷ 998 =
  38. 38.446926 ÷ 988 =
  39. 39.70802 ÷ 89 =
  40. 40.20473 ÷ 96 =

Answer key

  1. 790 rem 960
  2. 197 rem 8
  3. 1012 rem 20
  4. 973 rem 605
  5. 101 rem 2
  6. 739 rem 226
  7. 391 rem 179
  8. 654 rem 77
  9. 949 rem 61
  10. 210 rem 84
  11. 170 rem 21
  12. 185 rem 612
  13. 31 rem 7
  14. 929 rem 77
  15. 81 rem 188
  16. 628 rem 790
  17. 835 rem 88
  18. 54 rem 68
  19. 112 rem 922
  20. 863 rem 35
  21. 749 rem 8
  22. 484 rem 21
  23. 242 rem 72
  24. 646 rem 53
  25. 418 rem 629
  26. 193 rem 6
  27. 631 rem 94
  28. 1001 rem 12
  29. 590 rem 107
  30. 666 rem 155
  31. 761 rem 134
  32. 703 rem 304
  33. 569 rem 777
  34. 544 rem 17
  35. 42 rem 41
  36. 608 rem 5
  37. 962 rem 584
  38. 452 rem 350
  39. 795 rem 47
  40. 213 rem 25

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