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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 62 · 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. 1.126264 ÷ 998 =
  2. 2.7194 ÷ 8 =
  3. 3.835906 ÷ 998 =
  4. 4.74648 ÷ 97 =
  5. 5.57104 ÷ 98 =
  6. 6.1840 ÷ 8 =
  7. 7.55057 ÷ 98 =
  8. 8.45539 ÷ 89 =
  9. 9.89617 ÷ 89 =
  10. 10.5585 ÷ 8 =
  11. 11.141765 ÷ 998 =
  12. 12.860804 ÷ 897 =
  13. 13.9808 ÷ 8 =
  14. 14.741622 ÷ 989 =
  15. 15.154070 ÷ 989 =
  16. 16.85040 ÷ 98 =
  17. 17.33743 ÷ 988 =
  18. 18.60544 ÷ 96 =
  19. 19.627762 ÷ 998 =
  20. 20.940359 ÷ 988 =
  21. 21.9087 ÷ 8 =
  22. 22.53410 ÷ 96 =
  23. 23.768089 ÷ 989 =
  24. 24.26753 ÷ 88 =
  25. 25.431234 ÷ 988 =
  26. 26.652233 ÷ 897 =
  27. 27.607675 ÷ 897 =
  28. 28.72428 ÷ 89 =
  29. 29.18844 ÷ 98 =
  30. 30.80021 ÷ 89 =
  31. 31.715582 ÷ 997 =
  32. 32.363229 ÷ 997 =
  33. 33.8598 ÷ 8 =
  34. 34.72736 ÷ 98 =
  35. 35.131413 ÷ 897 =
  36. 36.39407 ÷ 97 =
  37. 37.994400 ÷ 988 =
  38. 38.50184 ÷ 88 =
  39. 39.3403 ÷ 89 =
  40. 40.335810 ÷ 989 =

Answer key

  1. 126 rem 516
  2. 899 rem 2
  3. 837 rem 580
  4. 769 rem 55
  5. 582 rem 68
  6. 230 rem 0
  7. 561 rem 79
  8. 511 rem 60
  9. 1006 rem 83
  10. 698 rem 1
  11. 142 rem 49
  12. 959 rem 581
  13. 1226 rem 0
  14. 749 rem 861
  15. 155 rem 775
  16. 867 rem 74
  17. 34 rem 151
  18. 630 rem 64
  19. 629 rem 20
  20. 951 rem 771
  21. 1135 rem 7
  22. 556 rem 34
  23. 776 rem 625
  24. 304 rem 1
  25. 436 rem 466
  26. 727 rem 114
  27. 677 rem 406
  28. 813 rem 71
  29. 192 rem 28
  30. 899 rem 10
  31. 717 rem 733
  32. 364 rem 321
  33. 1074 rem 6
  34. 742 rem 20
  35. 146 rem 451
  36. 406 rem 25
  37. 1006 rem 472
  38. 570 rem 24
  39. 38 rem 21
  40. 339 rem 539

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