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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 646 · 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. 1.2872 ÷ 8 =
  2. 2.440809 ÷ 989 =
  3. 3.66503 ÷ 98 =
  4. 4.35123 ÷ 88 =
  5. 5.82790 ÷ 96 =
  6. 6.217546 ÷ 989 =
  7. 7.92058 ÷ 96 =
  8. 8.8389 ÷ 88 =
  9. 9.95077 ÷ 97 =
  10. 10.11945 ÷ 98 =
  11. 11.27094 ÷ 89 =
  12. 12.1335 ÷ 8 =
  13. 13.5210 ÷ 8 =
  14. 14.643999 ÷ 998 =
  15. 15.192750 ÷ 988 =
  16. 16.786711 ÷ 997 =
  17. 17.96454 ÷ 998 =
  18. 18.992165 ÷ 997 =
  19. 19.377959 ÷ 998 =
  20. 20.669047 ÷ 989 =
  21. 21.30912 ÷ 88 =
  22. 22.61768 ÷ 88 =
  23. 23.13568 ÷ 89 =
  24. 24.29615 ÷ 997 =
  25. 25.2603 ÷ 8 =
  26. 26.603330 ÷ 897 =
  27. 27.431013 ÷ 998 =
  28. 28.595512 ÷ 897 =
  29. 29.39239 ÷ 97 =
  30. 30.621510 ÷ 988 =
  31. 31.105917 ÷ 997 =
  32. 32.867240 ÷ 997 =
  33. 33.39831 ÷ 97 =
  34. 34.70423 ÷ 98 =
  35. 35.82533 ÷ 989 =
  36. 36.143383 ÷ 988 =
  37. 37.212827 ÷ 997 =
  38. 38.60032 ÷ 88 =
  39. 39.9400 ÷ 8 =
  40. 40.17129 ÷ 88 =

Answer key

  1. 359 rem 0
  2. 445 rem 704
  3. 678 rem 59
  4. 399 rem 11
  5. 862 rem 38
  6. 219 rem 955
  7. 958 rem 90
  8. 95 rem 29
  9. 980 rem 17
  10. 121 rem 87
  11. 304 rem 38
  12. 166 rem 7
  13. 651 rem 2
  14. 645 rem 289
  15. 195 rem 90
  16. 789 rem 78
  17. 96 rem 646
  18. 995 rem 150
  19. 378 rem 715
  20. 676 rem 483
  21. 351 rem 24
  22. 701 rem 80
  23. 152 rem 40
  24. 29 rem 702
  25. 325 rem 3
  26. 672 rem 546
  27. 431 rem 875
  28. 663 rem 801
  29. 404 rem 51
  30. 629 rem 58
  31. 106 rem 235
  32. 869 rem 847
  33. 410 rem 61
  34. 718 rem 59
  35. 83 rem 446
  36. 145 rem 123
  37. 213 rem 466
  38. 682 rem 16
  39. 1175 rem 0
  40. 194 rem 57

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