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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 445 · 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. 1.9777 ÷ 97 =
  2. 2.7089 ÷ 8 =
  3. 3.400954 ÷ 989 =
  4. 4.2548 ÷ 97 =
  5. 5.120461 ÷ 897 =
  6. 6.78543 ÷ 989 =
  7. 7.10370 ÷ 88 =
  8. 8.350681 ÷ 988 =
  9. 9.96380 ÷ 97 =
  10. 10.35093 ÷ 988 =
  11. 11.46250 ÷ 88 =
  12. 12.385946 ÷ 988 =
  13. 13.690685 ÷ 988 =
  14. 14.2915 ÷ 8 =
  15. 15.636319 ÷ 989 =
  16. 16.403542 ÷ 997 =
  17. 17.709324 ÷ 998 =
  18. 18.587962 ÷ 997 =
  19. 19.92871 ÷ 97 =
  20. 20.113781 ÷ 988 =
  21. 21.127733 ÷ 998 =
  22. 22.14914 ÷ 98 =
  23. 23.99350 ÷ 989 =
  24. 24.210874 ÷ 997 =
  25. 25.351132 ÷ 997 =
  26. 26.60792 ÷ 997 =
  27. 27.693 ÷ 8 =
  28. 28.9062 ÷ 96 =
  29. 29.439247 ÷ 997 =
  30. 30.33660 ÷ 998 =
  31. 31.4687 ÷ 8 =
  32. 32.115034 ÷ 989 =
  33. 33.61621 ÷ 98 =
  34. 34.57272 ÷ 98 =
  35. 35.48510 ÷ 89 =
  36. 36.26268 ÷ 96 =
  37. 37.8043 ÷ 8 =
  38. 38.38844 ÷ 88 =
  39. 39.8321 ÷ 8 =
  40. 40.11036 ÷ 88 =

Answer key

  1. 100 rem 77
  2. 886 rem 1
  3. 405 rem 409
  4. 26 rem 26
  5. 134 rem 263
  6. 79 rem 412
  7. 117 rem 74
  8. 354 rem 929
  9. 993 rem 59
  10. 35 rem 513
  11. 525 rem 50
  12. 390 rem 626
  13. 699 rem 73
  14. 364 rem 3
  15. 643 rem 392
  16. 404 rem 754
  17. 710 rem 744
  18. 589 rem 729
  19. 957 rem 42
  20. 115 rem 161
  21. 127 rem 987
  22. 152 rem 18
  23. 100 rem 450
  24. 211 rem 507
  25. 352 rem 188
  26. 60 rem 972
  27. 86 rem 5
  28. 94 rem 38
  29. 440 rem 567
  30. 33 rem 726
  31. 585 rem 7
  32. 116 rem 310
  33. 628 rem 77
  34. 584 rem 40
  35. 545 rem 5
  36. 273 rem 60
  37. 1005 rem 3
  38. 441 rem 36
  39. 1040 rem 1
  40. 125 rem 36

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