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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 679 · 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. 1.148231 ÷ 897 =
  2. 2.518698 ÷ 989 =
  3. 3.7653 ÷ 8 =
  4. 4.504332 ÷ 988 =
  5. 5.7895 ÷ 97 =
  6. 6.8441 ÷ 8 =
  7. 7.83496 ÷ 96 =
  8. 8.59433 ÷ 98 =
  9. 9.6586 ÷ 8 =
  10. 10.995936 ÷ 897 =
  11. 11.596928 ÷ 989 =
  12. 12.94839 ÷ 88 =
  13. 13.738686 ÷ 988 =
  14. 14.95269 ÷ 97 =
  15. 15.23944 ÷ 96 =
  16. 16.60173 ÷ 89 =
  17. 17.294222 ÷ 997 =
  18. 18.615033 ÷ 997 =
  19. 19.51506 ÷ 96 =
  20. 20.66851 ÷ 98 =
  21. 21.991515 ÷ 988 =
  22. 22.97395 ÷ 97 =
  23. 23.80459 ÷ 89 =
  24. 24.668062 ÷ 897 =
  25. 25.6669 ÷ 8 =
  26. 26.528446 ÷ 998 =
  27. 27.60921 ÷ 988 =
  28. 28.59492 ÷ 97 =
  29. 29.658229 ÷ 988 =
  30. 30.489079 ÷ 897 =
  31. 31.483621 ÷ 897 =
  32. 32.1672 ÷ 8 =
  33. 33.27378 ÷ 97 =
  34. 34.86316 ÷ 88 =
  35. 35.944844 ÷ 897 =
  36. 36.38812 ÷ 97 =
  37. 37.640565 ÷ 988 =
  38. 38.368618 ÷ 988 =
  39. 39.688918 ÷ 897 =
  40. 40.24087 ÷ 89 =

Answer key

  1. 165 rem 226
  2. 524 rem 462
  3. 956 rem 5
  4. 510 rem 452
  5. 81 rem 38
  6. 1055 rem 1
  7. 869 rem 72
  8. 606 rem 45
  9. 823 rem 2
  10. 1110 rem 266
  11. 603 rem 561
  12. 1077 rem 63
  13. 747 rem 650
  14. 982 rem 15
  15. 249 rem 40
  16. 676 rem 9
  17. 295 rem 107
  18. 616 rem 881
  19. 536 rem 50
  20. 682 rem 15
  21. 1003 rem 551
  22. 1004 rem 7
  23. 904 rem 3
  24. 744 rem 694
  25. 833 rem 5
  26. 529 rem 504
  27. 61 rem 653
  28. 613 rem 31
  29. 666 rem 221
  30. 545 rem 214
  31. 539 rem 138
  32. 209 rem 0
  33. 282 rem 24
  34. 980 rem 76
  35. 1053 rem 303
  36. 400 rem 12
  37. 648 rem 341
  38. 373 rem 94
  39. 768 rem 22
  40. 270 rem 57

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