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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 326 · 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. 1.168780 ÷ 897 =
  2. 2.58987 ÷ 98 =
  3. 3.530968 ÷ 989 =
  4. 4.773194 ÷ 997 =
  5. 5.708324 ÷ 998 =
  6. 6.141388 ÷ 989 =
  7. 7.46676 ÷ 98 =
  8. 8.7313 ÷ 98 =
  9. 9.7913 ÷ 97 =
  10. 10.6747 ÷ 8 =
  11. 11.64938 ÷ 96 =
  12. 12.821870 ÷ 997 =
  13. 13.1927 ÷ 8 =
  14. 14.9336 ÷ 8 =
  15. 15.64710 ÷ 96 =
  16. 16.17915 ÷ 96 =
  17. 17.47083 ÷ 97 =
  18. 18.745088 ÷ 988 =
  19. 19.223683 ÷ 997 =
  20. 20.6228 ÷ 89 =
  21. 21.23332 ÷ 96 =
  22. 22.186435 ÷ 989 =
  23. 23.22263 ÷ 98 =
  24. 24.551821 ÷ 998 =
  25. 25.73356 ÷ 97 =
  26. 26.70758 ÷ 98 =
  27. 27.98562 ÷ 96 =
  28. 28.63919 ÷ 96 =
  29. 29.20010 ÷ 96 =
  30. 30.305446 ÷ 989 =
  31. 31.98089 ÷ 97 =
  32. 32.86565 ÷ 96 =
  33. 33.16725 ÷ 97 =
  34. 34.47917 ÷ 89 =
  35. 35.563973 ÷ 988 =
  36. 36.73465 ÷ 97 =
  37. 37.74904 ÷ 98 =
  38. 38.58334 ÷ 988 =
  39. 39.992992 ÷ 897 =
  40. 40.747397 ÷ 989 =

Answer key

  1. 188 rem 144
  2. 601 rem 89
  3. 536 rem 864
  4. 775 rem 519
  5. 709 rem 742
  6. 142 rem 950
  7. 476 rem 28
  8. 74 rem 61
  9. 81 rem 56
  10. 843 rem 3
  11. 676 rem 42
  12. 824 rem 342
  13. 240 rem 7
  14. 1167 rem 0
  15. 674 rem 6
  16. 186 rem 59
  17. 485 rem 38
  18. 754 rem 136
  19. 224 rem 355
  20. 69 rem 87
  21. 243 rem 4
  22. 188 rem 503
  23. 227 rem 17
  24. 552 rem 925
  25. 756 rem 24
  26. 722 rem 2
  27. 1026 rem 66
  28. 665 rem 79
  29. 208 rem 42
  30. 308 rem 834
  31. 1011 rem 22
  32. 901 rem 69
  33. 172 rem 41
  34. 538 rem 35
  35. 570 rem 813
  36. 757 rem 36
  37. 764 rem 32
  38. 59 rem 42
  39. 1107 rem 13
  40. 755 rem 702

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