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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 949 · 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. 1.12558 ÷ 96 =
  2. 2.10081 ÷ 98 =
  3. 3.5693 ÷ 97 =
  4. 4.9663 ÷ 8 =
  5. 5.170857 ÷ 989 =
  6. 6.357960 ÷ 897 =
  7. 7.47231 ÷ 98 =
  8. 8.91634 ÷ 96 =
  9. 9.369092 ÷ 897 =
  10. 10.522828 ÷ 897 =
  11. 11.61136 ÷ 97 =
  12. 12.28894 ÷ 96 =
  13. 13.50900 ÷ 88 =
  14. 14.36963 ÷ 88 =
  15. 15.22444 ÷ 89 =
  16. 16.985818 ÷ 997 =
  17. 17.23457 ÷ 98 =
  18. 18.828871 ÷ 998 =
  19. 19.263884 ÷ 988 =
  20. 20.832691 ÷ 989 =
  21. 21.89444 ÷ 89 =
  22. 22.29025 ÷ 88 =
  23. 23.87757 ÷ 97 =
  24. 24.7485 ÷ 8 =
  25. 25.386256 ÷ 998 =
  26. 26.25773 ÷ 97 =
  27. 27.194388 ÷ 988 =
  28. 28.73483 ÷ 96 =
  29. 29.25470 ÷ 89 =
  30. 30.793833 ÷ 998 =
  31. 31.87688 ÷ 96 =
  32. 32.645898 ÷ 989 =
  33. 33.313375 ÷ 989 =
  34. 34.988790 ÷ 998 =
  35. 35.28046 ÷ 88 =
  36. 36.998238 ÷ 997 =
  37. 37.609117 ÷ 998 =
  38. 38.9114 ÷ 97 =
  39. 39.6861 ÷ 8 =
  40. 40.371221 ÷ 989 =

Answer key

  1. 130 rem 78
  2. 102 rem 85
  3. 58 rem 67
  4. 1207 rem 7
  5. 172 rem 749
  6. 399 rem 57
  7. 481 rem 93
  8. 954 rem 50
  9. 411 rem 425
  10. 582 rem 774
  11. 630 rem 26
  12. 300 rem 94
  13. 578 rem 36
  14. 420 rem 3
  15. 252 rem 16
  16. 988 rem 782
  17. 239 rem 35
  18. 830 rem 531
  19. 267 rem 88
  20. 841 rem 942
  21. 1004 rem 88
  22. 329 rem 73
  23. 904 rem 69
  24. 935 rem 5
  25. 387 rem 30
  26. 265 rem 68
  27. 196 rem 740
  28. 765 rem 43
  29. 286 rem 16
  30. 795 rem 423
  31. 913 rem 40
  32. 653 rem 81
  33. 316 rem 851
  34. 990 rem 770
  35. 318 rem 62
  36. 1001 rem 241
  37. 610 rem 337
  38. 93 rem 93
  39. 857 rem 5
  40. 375 rem 346

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