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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 279 · 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. 1.1897 ÷ 8 =
  2. 2.145760 ÷ 998 =
  3. 3.695137 ÷ 998 =
  4. 4.76901 ÷ 989 =
  5. 5.753589 ÷ 988 =
  6. 6.525577 ÷ 897 =
  7. 7.14468 ÷ 96 =
  8. 8.1000 ÷ 98 =
  9. 9.88233 ÷ 89 =
  10. 10.47930 ÷ 97 =
  11. 11.20428 ÷ 988 =
  12. 12.2677 ÷ 8 =
  13. 13.265 ÷ 8 =
  14. 14.877157 ÷ 897 =
  15. 15.149290 ÷ 988 =
  16. 16.41880 ÷ 97 =
  17. 17.2106 ÷ 8 =
  18. 18.26167 ÷ 98 =
  19. 19.2813 ÷ 8 =
  20. 20.859414 ÷ 998 =
  21. 21.186798 ÷ 997 =
  22. 22.237564 ÷ 997 =
  23. 23.735121 ÷ 998 =
  24. 24.2181 ÷ 98 =
  25. 25.224695 ÷ 988 =
  26. 26.873876 ÷ 998 =
  27. 27.628960 ÷ 997 =
  28. 28.6216 ÷ 98 =
  29. 29.692144 ÷ 998 =
  30. 30.276165 ÷ 897 =
  31. 31.47014 ÷ 97 =
  32. 32.70043 ÷ 897 =
  33. 33.54361 ÷ 97 =
  34. 34.806421 ÷ 988 =
  35. 35.19773 ÷ 97 =
  36. 36.902291 ÷ 988 =
  37. 37.163548 ÷ 997 =
  38. 38.402545 ÷ 997 =
  39. 39.127217 ÷ 988 =
  40. 40.14025 ÷ 97 =

Answer key

  1. 237 rem 1
  2. 146 rem 52
  3. 696 rem 529
  4. 77 rem 748
  5. 762 rem 733
  6. 585 rem 832
  7. 150 rem 68
  8. 10 rem 20
  9. 991 rem 34
  10. 494 rem 12
  11. 20 rem 668
  12. 334 rem 5
  13. 33 rem 1
  14. 977 rem 788
  15. 151 rem 102
  16. 431 rem 73
  17. 263 rem 2
  18. 267 rem 1
  19. 351 rem 5
  20. 861 rem 136
  21. 187 rem 359
  22. 238 rem 278
  23. 736 rem 593
  24. 22 rem 25
  25. 227 rem 419
  26. 875 rem 626
  27. 630 rem 850
  28. 63 rem 42
  29. 693 rem 530
  30. 307 rem 786
  31. 484 rem 66
  32. 78 rem 77
  33. 560 rem 41
  34. 816 rem 213
  35. 203 rem 82
  36. 913 rem 247
  37. 164 rem 40
  38. 403 rem 754
  39. 128 rem 753
  40. 144 rem 57

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