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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 653 · 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. 1.407917 ÷ 988 =
  2. 2.518508 ÷ 988 =
  3. 3.61147 ÷ 98 =
  4. 4.78019 ÷ 98 =
  5. 5.606679 ÷ 897 =
  6. 6.79594 ÷ 96 =
  7. 7.57146 ÷ 97 =
  8. 8.74880 ÷ 988 =
  9. 9.43818 ÷ 96 =
  10. 10.79495 ÷ 96 =
  11. 11.297596 ÷ 897 =
  12. 12.38926 ÷ 98 =
  13. 13.453875 ÷ 897 =
  14. 14.561052 ÷ 997 =
  15. 15.29634 ÷ 97 =
  16. 16.923305 ÷ 997 =
  17. 17.2183 ÷ 8 =
  18. 18.6967 ÷ 8 =
  19. 19.160745 ÷ 997 =
  20. 20.41112 ÷ 89 =
  21. 21.68331 ÷ 988 =
  22. 22.949576 ÷ 989 =
  23. 23.833772 ÷ 989 =
  24. 24.457575 ÷ 997 =
  25. 25.4154 ÷ 89 =
  26. 26.12488 ÷ 98 =
  27. 27.12429 ÷ 989 =
  28. 28.612512 ÷ 988 =
  29. 29.298857 ÷ 997 =
  30. 30.969817 ÷ 988 =
  31. 31.93609 ÷ 89 =
  32. 32.315521 ÷ 989 =
  33. 33.22184 ÷ 88 =
  34. 34.1273 ÷ 88 =
  35. 35.435866 ÷ 997 =
  36. 36.71431 ÷ 96 =
  37. 37.478580 ÷ 989 =
  38. 38.11183 ÷ 89 =
  39. 39.4018 ÷ 8 =
  40. 40.75322 ÷ 988 =

Answer key

  1. 412 rem 861
  2. 524 rem 796
  3. 623 rem 93
  4. 796 rem 11
  5. 676 rem 307
  6. 829 rem 10
  7. 589 rem 13
  8. 75 rem 780
  9. 456 rem 42
  10. 828 rem 7
  11. 331 rem 689
  12. 397 rem 20
  13. 505 rem 890
  14. 562 rem 738
  15. 305 rem 49
  16. 926 rem 83
  17. 272 rem 7
  18. 870 rem 7
  19. 161 rem 228
  20. 461 rem 83
  21. 69 rem 159
  22. 960 rem 136
  23. 843 rem 45
  24. 458 rem 949
  25. 46 rem 60
  26. 127 rem 42
  27. 12 rem 561
  28. 619 rem 940
  29. 299 rem 754
  30. 981 rem 589
  31. 1051 rem 70
  32. 319 rem 30
  33. 252 rem 8
  34. 14 rem 41
  35. 437 rem 177
  36. 744 rem 7
  37. 483 rem 893
  38. 125 rem 58
  39. 502 rem 2
  40. 76 rem 234

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