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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 609 · 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. 1.61327 ÷ 97 =
  2. 2.434547 ÷ 997 =
  3. 3.441627 ÷ 988 =
  4. 4.616904 ÷ 989 =
  5. 5.344325 ÷ 897 =
  6. 6.140750 ÷ 897 =
  7. 7.48068 ÷ 89 =
  8. 8.6844 ÷ 8 =
  9. 9.374069 ÷ 998 =
  10. 10.4086 ÷ 8 =
  11. 11.11281 ÷ 998 =
  12. 12.42656 ÷ 89 =
  13. 13.23840 ÷ 97 =
  14. 14.84368 ÷ 89 =
  15. 15.93127 ÷ 88 =
  16. 16.475498 ÷ 989 =
  17. 17.864106 ÷ 989 =
  18. 18.267304 ÷ 989 =
  19. 19.698793 ÷ 998 =
  20. 20.75348 ÷ 96 =
  21. 21.195144 ÷ 989 =
  22. 22.235559 ÷ 989 =
  23. 23.9067 ÷ 88 =
  24. 24.28539 ÷ 89 =
  25. 25.759051 ÷ 897 =
  26. 26.98718 ÷ 89 =
  27. 27.871583 ÷ 997 =
  28. 28.6841 ÷ 8 =
  29. 29.19953 ÷ 96 =
  30. 30.31646 ÷ 88 =
  31. 31.27860 ÷ 89 =
  32. 32.31191 ÷ 96 =
  33. 33.679596 ÷ 998 =
  34. 34.659837 ÷ 998 =
  35. 35.740624 ÷ 998 =
  36. 36.889744 ÷ 988 =
  37. 37.80638 ÷ 98 =
  38. 38.88313 ÷ 89 =
  39. 39.522956 ÷ 988 =
  40. 40.41740 ÷ 96 =

Answer key

  1. 632 rem 23
  2. 435 rem 852
  3. 446 rem 979
  4. 623 rem 757
  5. 383 rem 774
  6. 156 rem 818
  7. 540 rem 8
  8. 855 rem 4
  9. 374 rem 817
  10. 510 rem 6
  11. 11 rem 303
  12. 479 rem 25
  13. 245 rem 75
  14. 947 rem 85
  15. 1058 rem 23
  16. 480 rem 778
  17. 873 rem 709
  18. 270 rem 274
  19. 700 rem 193
  20. 784 rem 84
  21. 197 rem 311
  22. 238 rem 177
  23. 103 rem 3
  24. 320 rem 59
  25. 846 rem 189
  26. 1109 rem 17
  27. 874 rem 205
  28. 855 rem 1
  29. 207 rem 81
  30. 359 rem 54
  31. 313 rem 3
  32. 324 rem 87
  33. 680 rem 956
  34. 661 rem 159
  35. 742 rem 108
  36. 900 rem 544
  37. 822 rem 82
  38. 992 rem 25
  39. 529 rem 304
  40. 434 rem 76

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