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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 706 · 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. 1.838193 ÷ 989 =
  2. 2.60369 ÷ 97 =
  3. 3.135150 ÷ 997 =
  4. 4.55384 ÷ 988 =
  5. 5.940 ÷ 8 =
  6. 6.25006 ÷ 97 =
  7. 7.54950 ÷ 97 =
  8. 8.53027 ÷ 89 =
  9. 9.14333 ÷ 88 =
  10. 10.58415 ÷ 88 =
  11. 11.849638 ÷ 989 =
  12. 12.69076 ÷ 98 =
  13. 13.580466 ÷ 998 =
  14. 14.349275 ÷ 897 =
  15. 15.763223 ÷ 998 =
  16. 16.140890 ÷ 997 =
  17. 17.732132 ÷ 997 =
  18. 18.259428 ÷ 988 =
  19. 19.92907 ÷ 89 =
  20. 20.99530 ÷ 97 =
  21. 21.62049 ÷ 88 =
  22. 22.40498 ÷ 96 =
  23. 23.21639 ÷ 98 =
  24. 24.279786 ÷ 897 =
  25. 25.52811 ÷ 97 =
  26. 26.90744 ÷ 96 =
  27. 27.926841 ÷ 998 =
  28. 28.75122 ÷ 88 =
  29. 29.101655 ÷ 997 =
  30. 30.304851 ÷ 997 =
  31. 31.592191 ÷ 989 =
  32. 32.701513 ÷ 897 =
  33. 33.61199 ÷ 98 =
  34. 34.586544 ÷ 998 =
  35. 35.199297 ÷ 997 =
  36. 36.23108 ÷ 97 =
  37. 37.19573 ÷ 98 =
  38. 38.94349 ÷ 998 =
  39. 39.396676 ÷ 998 =
  40. 40.937 ÷ 8 =

Answer key

  1. 847 rem 510
  2. 622 rem 35
  3. 135 rem 555
  4. 56 rem 56
  5. 117 rem 4
  6. 257 rem 77
  7. 566 rem 48
  8. 595 rem 72
  9. 162 rem 77
  10. 663 rem 71
  11. 859 rem 87
  12. 704 rem 84
  13. 581 rem 628
  14. 389 rem 342
  15. 764 rem 751
  16. 141 rem 313
  17. 734 rem 334
  18. 262 rem 572
  19. 1043 rem 80
  20. 1026 rem 8
  21. 705 rem 9
  22. 421 rem 82
  23. 220 rem 79
  24. 311 rem 819
  25. 544 rem 43
  26. 945 rem 24
  27. 928 rem 697
  28. 853 rem 58
  29. 101 rem 958
  30. 305 rem 766
  31. 598 rem 769
  32. 782 rem 59
  33. 624 rem 47
  34. 587 rem 718
  35. 199 rem 894
  36. 238 rem 22
  37. 199 rem 71
  38. 94 rem 537
  39. 397 rem 470
  40. 117 rem 1

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