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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 773 · 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. 1.828063 ÷ 998 =
  2. 2.622784 ÷ 988 =
  3. 3.41256 ÷ 88 =
  4. 4.212401 ÷ 897 =
  5. 5.874706 ÷ 897 =
  6. 6.24665 ÷ 897 =
  7. 7.167983 ÷ 988 =
  8. 8.22686 ÷ 96 =
  9. 9.84815 ÷ 96 =
  10. 10.355187 ÷ 998 =
  11. 11.33478 ÷ 97 =
  12. 12.703371 ÷ 897 =
  13. 13.89230 ÷ 96 =
  14. 14.93884 ÷ 88 =
  15. 15.47144 ÷ 88 =
  16. 16.258995 ÷ 998 =
  17. 17.59397 ÷ 997 =
  18. 18.25059 ÷ 98 =
  19. 19.28131 ÷ 96 =
  20. 20.131053 ÷ 989 =
  21. 21.518061 ÷ 998 =
  22. 22.79102 ÷ 97 =
  23. 23.580154 ÷ 988 =
  24. 24.32236 ÷ 96 =
  25. 25.50567 ÷ 88 =
  26. 26.8259 ÷ 8 =
  27. 27.8834 ÷ 97 =
  28. 28.14816 ÷ 97 =
  29. 29.1030 ÷ 96 =
  30. 30.166387 ÷ 897 =
  31. 31.283895 ÷ 998 =
  32. 32.824772 ÷ 897 =
  33. 33.904493 ÷ 998 =
  34. 34.920047 ÷ 998 =
  35. 35.61053 ÷ 88 =
  36. 36.43349 ÷ 88 =
  37. 37.922699 ÷ 998 =
  38. 38.70123 ÷ 88 =
  39. 39.237560 ÷ 997 =
  40. 40.9098 ÷ 96 =

Answer key

  1. 829 rem 721
  2. 630 rem 344
  3. 468 rem 72
  4. 236 rem 709
  5. 975 rem 131
  6. 27 rem 446
  7. 170 rem 23
  8. 236 rem 30
  9. 883 rem 47
  10. 355 rem 897
  11. 345 rem 13
  12. 784 rem 123
  13. 929 rem 46
  14. 1066 rem 76
  15. 535 rem 64
  16. 259 rem 513
  17. 59 rem 574
  18. 255 rem 69
  19. 293 rem 3
  20. 132 rem 505
  21. 519 rem 99
  22. 815 rem 47
  23. 587 rem 198
  24. 335 rem 76
  25. 574 rem 55
  26. 1032 rem 3
  27. 91 rem 7
  28. 152 rem 72
  29. 10 rem 70
  30. 185 rem 442
  31. 284 rem 463
  32. 919 rem 429
  33. 906 rem 305
  34. 921 rem 889
  35. 693 rem 69
  36. 492 rem 53
  37. 924 rem 547
  38. 796 rem 75
  39. 238 rem 274
  40. 94 rem 74

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