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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 862 · 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. 1.60382 ÷ 88 =
  2. 2.59129 ÷ 88 =
  3. 3.90274 ÷ 89 =
  4. 4.959646 ÷ 997 =
  5. 5.54027 ÷ 89 =
  6. 6.283737 ÷ 989 =
  7. 7.51284 ÷ 97 =
  8. 8.197952 ÷ 997 =
  9. 9.659182 ÷ 997 =
  10. 10.90047 ÷ 97 =
  11. 11.176389 ÷ 998 =
  12. 12.89388 ÷ 88 =
  13. 13.36835 ÷ 89 =
  14. 14.71275 ÷ 88 =
  15. 15.465303 ÷ 997 =
  16. 16.385173 ÷ 997 =
  17. 17.813406 ÷ 997 =
  18. 18.95940 ÷ 97 =
  19. 19.61853 ÷ 98 =
  20. 20.78128 ÷ 97 =
  21. 21.90990 ÷ 89 =
  22. 22.390287 ÷ 989 =
  23. 23.6656 ÷ 8 =
  24. 24.18324 ÷ 88 =
  25. 25.514462 ÷ 997 =
  26. 26.724097 ÷ 897 =
  27. 27.4113 ÷ 8 =
  28. 28.57302 ÷ 96 =
  29. 29.83340 ÷ 97 =
  30. 30.574982 ÷ 989 =
  31. 31.63649 ÷ 97 =
  32. 32.51648 ÷ 97 =
  33. 33.151672 ÷ 988 =
  34. 34.71678 ÷ 97 =
  35. 35.77400 ÷ 88 =
  36. 36.3895 ÷ 8 =
  37. 37.17943 ÷ 97 =
  38. 38.922432 ÷ 988 =
  39. 39.99585 ÷ 98 =
  40. 40.770223 ÷ 988 =

Answer key

  1. 686 rem 14
  2. 671 rem 81
  3. 1014 rem 28
  4. 962 rem 532
  5. 607 rem 4
  6. 286 rem 883
  7. 528 rem 68
  8. 198 rem 546
  9. 661 rem 165
  10. 928 rem 31
  11. 176 rem 741
  12. 1015 rem 68
  13. 413 rem 78
  14. 809 rem 83
  15. 466 rem 701
  16. 386 rem 331
  17. 815 rem 851
  18. 989 rem 7
  19. 631 rem 15
  20. 805 rem 43
  21. 1022 rem 32
  22. 394 rem 621
  23. 832 rem 0
  24. 208 rem 20
  25. 516 rem 10
  26. 807 rem 218
  27. 514 rem 1
  28. 596 rem 86
  29. 859 rem 17
  30. 581 rem 373
  31. 656 rem 17
  32. 532 rem 44
  33. 153 rem 508
  34. 738 rem 92
  35. 879 rem 48
  36. 486 rem 7
  37. 184 rem 95
  38. 933 rem 628
  39. 1016 rem 17
  40. 779 rem 571

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